53492400 has 300 divisors, whose sum is σ = 208375552. Its totient is φ = 13063680.

The previous prime is 53492399. The next prime is 53492431. The reversal of 53492400 is 429435.

53492400 is a `hidden beast` number, since 534 + 92 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×53492400² = 5722873715520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 421137 + ... + 421263.

Almost surely, 2^53492400 is an apocalyptic number.

53492400 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 53492400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104187776).

53492400 is an abundant number, since it is smaller than the sum of its proper divisors (154883152).

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

53492400 is a wasteful number, since it uses less digits than its factorization.

53492400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53492400 is about 7313.8498754076. The cubic root of 53492400 is about 376.7882587927.

The spelling of 53492400 in words is "fifty-three million, four hundred ninety-two thousand, four hundred".