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474215040 = 27335132111
BaseRepresentation
bin11100010000111…
…111001010000000
31020001022121202000
4130100333022000
51432344340130
6115020024000
714515522065
oct3420771200
91201277660
10474215040
11223755862
12112992000
1377327820
1446da2c6c
152b973260
hex1c43f280

474215040 has 256 divisors, whose sum is σ = 1809561600. Its totient is φ = 116674560.

The previous prime is 474214997. The next prime is 474215057. The reversal of 474215040 is 40512474.

474215040 is a `hidden beast` number, since 474 + 2 + 150 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 474214995 and 474215013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223585 + ... + 225695.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2474215040 is an apocalyptic number.

474215040 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 474215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904780800).

474215040 is an abundant number, since it is smaller than the sum of its proper divisors (1335346560).

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

474215040 is a wasteful number, since it uses less digits than its factorization.

474215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 474215040 is about 21776.4790542457. The cubic root of 474215040 is about 779.8153409022.

The spelling of 474215040 in words is "four hundred seventy-four million, two hundred fifteen thousand, forty".