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472576980480 = 293511383557
BaseRepresentation
bin1101110000001111100…
…10000111011000000000
31200011210200221222111220
412320013302013120000
530220314201333410
61001033204435040
746066620025203
oct6700762073000
91604720858456
10472576980480
11172467427000
12777090a8a80
1335743928cc7
1418c3114793a
15c45d38e070
hex6e07c87600

472576980480 has 640 divisors, whose sum is σ = 1684773167616. Its totient is φ = 112980623360.

The previous prime is 472576980461. The next prime is 472576980493. The reversal of 472576980480 is 84089675274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848432362 + ... + 848432918.

Almost surely, 2472576980480 is an apocalyptic number.

472576980480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472576980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842386583808).

472576980480 is an abundant number, since it is smaller than the sum of its proper divisors (1212196187136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

472576980480 is an equidigital number, since it uses as much as digits as its factorization.

472576980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 472576980480 in words is "four hundred seventy-two billion, five hundred seventy-six million, nine hundred eighty thousand, four hundred eighty".