474462930240 has 840 divisors, whose sum is σ = 1849614532920. Its totient is φ = 115383730176.

The previous prime is 474462930197. The next prime is 474462930257. The reversal of 474462930240 is 42039264474.

It can be written as a sum of positive squares in 12 ways, for example, as 378343089216 + 96119841024 = 615096^2 + 310032^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 389862112 + ... + 389863328.

It is an arithmetic number, because the mean of its divisors is an integer number (2201922063).

Almost surely, 2^474462930240 is an apocalyptic number.

474462930240 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 474462930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924807266460).

474462930240 is an abundant number, since it is smaller than the sum of its proper divisors (1375151602680).

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

474462930240 is a wasteful number, since it uses less digits than its factorization.

474462930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 474462930240 in words is "four hundred seventy-four billion, four hundred sixty-two million, nine hundred thirty thousand, two hundred forty".