731660400 has 180 divisors, whose sum is σ = 2556367632. Its totient is φ = 193781760.

The previous prime is 731660359. The next prime is 731660407. The reversal of 731660400 is 4066137.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (731660407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600592 + ... + 601808.

Almost surely, 2^731660400 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 731660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278183816).

731660400 is an abundant number, since it is smaller than the sum of its proper divisors (1824707232).

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

731660400 is a wasteful number, since it uses less digits than its factorization.

731660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 731660400 is about 27049.2218002663. The cubic root of 731660400 is about 901.0934857090.

The spelling of 731660400 in words is "seven hundred thirty-one million, six hundred sixty thousand, four hundred".