962240400 has 405 divisors, whose sum is σ = 3750161233. Its totient is φ = 228307200.

The previous prime is 962240347. The next prime is 962240401. The reversal of 962240400 is 4042269.

The square root of 962240400 is 31020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 346406544 + 615833856 = 18612^2 + 24816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (962240401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20473177 + ... + 20473223.

Almost surely, 2^962240400 is an apocalyptic number.

962240400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

962240400 is the 31020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962240400

962240400 is an abundant number, since it is smaller than the sum of its proper divisors (2787920833).

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

962240400 is a wasteful number, since it uses less digits than its factorization.

962240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 962240400 is about 987.2516365199.

Adding to 962240400 its reverse (4042269), we get a palindrome (966282669).

The spelling of 962240400 in words is "nine hundred sixty-two million, two hundred forty thousand, four hundred".