731730464400 has 480 divisors, whose sum is σ = 2555476439040. Its totient is φ = 177906032640.

The previous prime is 731730464389. The next prime is 731730464407. The reversal of 731730464400 is 4464037137.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (731730464407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532942114 + ... + 532943486.

It is an arithmetic number, because the mean of its divisors is an integer number (5323909248).

Almost surely, 2^731730464400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 731730464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277738219520).

731730464400 is an abundant number, since it is smaller than the sum of its proper divisors (1823745974640).

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

731730464400 is a wasteful number, since it uses less digits than its factorization.

731730464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 731730464400 in words is "seven hundred thirty-one billion, seven hundred thirty million, four hundred sixty-four thousand, four hundred".