962798400 has 840 divisors, whose sum is σ = 4115897280. Its totient is φ = 218972160.

The previous prime is 962798399. The next prime is 962798407. The reversal of 962798400 is 4897269.

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 (962798407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41860789 + ... + 41860811.

Almost surely, 2^962798400 is an apocalyptic number.

962798400 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 962798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057948640).

962798400 is an abundant number, since it is smaller than the sum of its proper divisors (3153098880).

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

962798400 is a wasteful number, since it uses less digits than its factorization.

962798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 69 counting only the distinct ones).

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

The square root of 962798400 is about 31028.9928937437. The cubic root of 962798400 is about 987.4424342878.

The spelling of 962798400 in words is "nine hundred sixty-two million, seven hundred ninety-eight thousand, four hundred".