56261400 has 96 divisors (see below), whose sum is σ = 187852560. Its totient is φ = 13847040.

The previous prime is 56261393. The next prime is 56261417. The reversal of 56261400 is 416265.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4194 + ... + 11406.

Almost surely, 2^56261400 is an apocalyptic number.

56261400 is a gapful number since it is divisible by the number (50) 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 56261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93926280).

56261400 is an abundant number, since it is smaller than the sum of its proper divisors (131591160).

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

56261400 is a wasteful number, since it uses less digits than its factorization.

56261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56261400 is about 7500.7599614972. The cubic root of 56261400 is about 383.1805986781.

Adding to 56261400 its reverse (416265), we get a palindrome (56677665).

The spelling of 56261400 in words is "fifty-six million, two hundred sixty-one thousand, four hundred".