964902400 has 360 divisors, whose sum is σ = 3036836880. Its totient is φ = 297369600.

The previous prime is 964902397. The next prime is 964902401. The reversal of 964902400 is 4209469.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964902401) 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, 10841556 + ... + 10841644.

It is an arithmetic number, because the mean of its divisors is an integer number (8435658).

Almost surely, 2^964902400 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 964902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518418440).

964902400 is an abundant number, since it is smaller than the sum of its proper divisors (2071934480).

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

964902400 is a wasteful number, since it uses less digits than its factorization.

964902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 964902400 is about 31062.8781667121. The cubic root of 964902400 is about 988.1611958137.

The spelling of 964902400 in words is "nine hundred sixty-four million, nine hundred two thousand, four hundred".