735664400 has 60 divisors (see below), whose sum is σ = 1773748452. Its totient is φ = 293214720.

The previous prime is 735664399. The next prime is 735664411. The reversal of 735664400 is 4466537.

It can be written as a sum of positive squares in 6 ways, for example, as 139523344 + 596141056 = 11812^2 + 24416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114062 + ... + 120338.

Almost surely, 2^735664400 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 735664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886874226).

735664400 is an abundant number, since it is smaller than the sum of its proper divisors (1038084052).

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

735664400 is a wasteful number, since it uses less digits than its factorization.

735664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 735664400 is about 27123.1340372015. The cubic root of 735664400 is about 902.7342363081.

The spelling of 735664400 in words is "seven hundred thirty-five million, six hundred sixty-four thousand, four hundred".