53798400 has 180 divisors, whose sum is σ = 192941892. Its totient is φ = 14315520.

The previous prime is 53798399. The next prime is 53798411. The reversal of 53798400 is 489735.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114967 + ... + 115433.

Almost surely, 2^53798400 is an apocalyptic number.

53798400 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 53798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96470946).

53798400 is an abundant number, since it is smaller than the sum of its proper divisors (139143492).

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

53798400 is a wasteful number, since it uses less digits than its factorization.

53798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53798400 is about 7334.7392591693. The cubic root of 53798400 is about 377.5053578761.

The spelling of 53798400 in words is "fifty-three million, seven hundred ninety-eight thousand, four hundred".