962257296 has 240 divisors, whose sum is σ = 3398407488. Its totient is φ = 230630400.

The previous prime is 962257253. The next prime is 962257301. The reversal of 962257296 is 692752269.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334906 + ... + 337766.

Almost surely, 2^962257296 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 962257296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699203744).

962257296 is an abundant number, since it is smaller than the sum of its proper divisors (2436150192).

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

962257296 is a wasteful number, since it uses less digits than its factorization.

962257296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2897 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 962257296 is about 31020.2723392300. The cubic root of 962257296 is about 987.2574148770.

The spelling of 962257296 in words is "nine hundred sixty-two million, two hundred fifty-seven thousand, two hundred ninety-six".