736494400 has 84 divisors (see below), whose sum is σ = 1918909548. Its totient is φ = 277258240.

The previous prime is 736494391. The next prime is 736494427. The reversal of 736494400 is 4494637.

It can be written as a sum of positive squares in 6 ways, for example, as 26378496 + 710115904 = 5136^2 + 26648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 736494400.

It is a congruent number.

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, 13662 + ... + 40738.

Almost surely, 2^736494400 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 736494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959454774).

736494400 is an abundant number, since it is smaller than the sum of its proper divisors (1182415148).

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

736494400 is a wasteful number, since it uses less digits than its factorization.

736494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27116 (or 27101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 736494400 is about 27138.4303156981. The cubic root of 736494400 is about 903.0736065469.

The spelling of 736494400 in words is "seven hundred thirty-six million, four hundred ninety-four thousand, four hundred".