53174400 has 192 divisors, whose sum is σ = 182131200. Its totient is φ = 13619200.

The previous prime is 53174383. The next prime is 53174431. The reversal of 53174400 is 447135.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 278305 + ... + 278495.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^53174400 is an apocalyptic number.

53174400 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 53174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

53174400 is an abundant number, since it is smaller than the sum of its proper divisors (128956800).

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

53174400 is a wasteful number, since it uses less digits than its factorization.

53174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 53174400 is about 7292.0778931660. The cubic root of 53174400 is about 376.0401345419.

The spelling of 53174400 in words is "fifty-three million, one hundred seventy-four thousand, four hundred".