964048400 has 120 divisors (see below), whose sum is σ = 2667120960. Its totient is φ = 328020480.

The previous prime is 964048399. The next prime is 964048411. The reversal of 964048400 is 4840469.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387962 + ... + 390438.

It is an arithmetic number, because the mean of its divisors is an integer number (22226008).

Almost surely, 2^964048400 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 964048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333560480).

964048400 is an abundant number, since it is smaller than the sum of its proper divisors (1703072560).

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

964048400 is a wasteful number, since it uses less digits than its factorization.

964048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 964048400 is about 31049.1288122549. The cubic root of 964048400 is about 987.8695812597.

Adding to 964048400 its reverse (4840469), we get a palindrome (968888869).

The spelling of 964048400 in words is "nine hundred sixty-four million, forty-eight thousand, four hundred".