474157560240 has 960 divisors, whose sum is σ = 2051918668800. Its totient is φ = 99083907072.

The previous prime is 474157560211. The next prime is 474157560307. The reversal of 474157560240 is 42065751474.

474157560240 is a `hidden beast` number, since 4 + 7 + 41 + 5 + 7 + 560 + 2 + 40 = 666.

474157560240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192824131 + ... + 192826589.

It is an arithmetic number, because the mean of its divisors is an integer number (2137415280).

Almost surely, 2^474157560240 is an apocalyptic number.

474157560240 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 474157560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025959334400).

474157560240 is an abundant number, since it is smaller than the sum of its proper divisors (1577761108560).

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

474157560240 is a wasteful number, since it uses less digits than its factorization.

474157560240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 474157560240 in words is "four hundred seventy-four billion, one hundred fifty-seven million, five hundred sixty thousand, two hundred forty".