53401920 has 224 divisors, whose sum is σ = 199704960. Its totient is φ = 11919360.

The previous prime is 53401919. The next prime is 53401937. The reversal of 53401920 is 2910435.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137086 + ... + 137474.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^53401920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

53401920 is an abundant number, since it is smaller than the sum of its proper divisors (146303040).

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

53401920 is a wasteful number, since it uses less digits than its factorization.

53401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 53401920 is about 7307.6617327296. The cubic root of 53401920 is about 376.5756987448.

It can be divided in two parts, 5340 and 1920, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 53401920 in words is "fifty-three million, four hundred one thousand, nine hundred twenty".