53990400 has 264 divisors, whose sum is σ = 192909280. Its totient is φ = 13271040.

The previous prime is 53990393. The next prime is 53990401. The reversal of 53990400 is 409935.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53990401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1459182 + ... + 1459218.

Almost surely, 2^53990400 is an apocalyptic number.

53990400 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 53990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96454640).

53990400 is an abundant number, since it is smaller than the sum of its proper divisors (138918880).

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

53990400 is a wasteful number, since it uses less digits than its factorization.

53990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 53990400 is about 7347.8160020512. The cubic root of 53990400 is about 377.9539150446.

The spelling of 53990400 in words is "fifty-three million, nine hundred ninety thousand, four hundred".