53046400 has 144 divisors (see below), whose sum is σ = 145088370. Its totient is φ = 19148800.

The previous prime is 53046377. The next prime is 53046401. The reversal of 53046400 is 464035.

It can be written as a sum of positive squares in 3 ways, for example, as 41267776 + 11778624 = 6424^2 + 3432^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (53046401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387132 + ... + 387268.

Almost surely, 2^53046400 is an apocalyptic number.

53046400 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 53046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72544185).

53046400 is an abundant number, since it is smaller than the sum of its proper divisors (92041970).

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

53046400 is a wasteful number, since it uses less digits than its factorization.

53046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 53046400 is about 7283.2959571886. The cubic root of 53046400 is about 375.7381608443.

The spelling of 53046400 in words is "fifty-three million, forty-six thousand, four hundred".