471400252560 has 180 divisors, whose sum is σ = 1635837309756. Its totient is φ = 121651499520.

The previous prime is 471400252549. The next prime is 471400252607. The reversal of 471400252560 is 65252004174.

It is a happy number.

471400252560 is a `hidden beast` number, since 4 + 7 + 1 + 40 + 0 + 2 + 52 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95562593424 + 375837659136 = 309132^2 + 613056^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×471400252560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 351274 + ... + 1032566.

Almost surely, 2^471400252560 is an apocalyptic number.

471400252560 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 471400252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817918654878).

471400252560 is an abundant number, since it is smaller than the sum of its proper divisors (1164437057196).

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

471400252560 is a wasteful number, since it uses less digits than its factorization.

471400252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681374 (or 681334 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 471400252560 in words is "four hundred seventy-one billion, four hundred million, two hundred fifty-two thousand, five hundred sixty".