962874900 has 432 divisors, whose sum is σ = 3548772864. Its totient is φ = 216207360.

The previous prime is 962874863. The next prime is 962874901. The reversal of 962874900 is 9478269.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962874901) 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 143 ways as a sum of consecutive naturals, for example, 9348249 + ... + 9348351.

It is an arithmetic number, because the mean of its divisors is an integer number (8214752).

Almost surely, 2^962874900 is an apocalyptic number.

962874900 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 962874900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774386432).

962874900 is an abundant number, since it is smaller than the sum of its proper divisors (2585897964).

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

962874900 is a wasteful number, since it uses less digits than its factorization.

962874900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 962874900 is about 31030.2255873205. The cubic root of 962874900 is about 987.4685862997.

The spelling of 962874900 in words is "nine hundred sixty-two million, eight hundred seventy-four thousand, nine hundred".