962438400 has 972 divisors, whose sum is σ = 4507461504. Its totient is φ = 193536000.

The previous prime is 962438377. The next prime is 962438401. The reversal of 962438400 is 4834269.

It is a happy number.

962438400 is a `hidden beast` number, since 9 + 6 + 243 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31046385 + ... + 31046415.

Almost surely, 2^962438400 is an apocalyptic number.

962438400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253730752).

962438400 is an abundant number, since it is smaller than the sum of its proper divisors (3545023104).

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

962438400 is a wasteful number, since it uses less digits than its factorization.

962438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 962438400 is about 31023.1913252006. The cubic root of 962438400 is about 987.3193473947.

The spelling of 962438400 in words is "nine hundred sixty-two million, four hundred thirty-eight thousand, four hundred".