53301456 has 80 divisors (see below), whose sum is σ = 164781120. Its totient is φ = 16398720.

The previous prime is 53301433. The next prime is 53301463. The reversal of 53301456 is 65410335.

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 15 ways as a sum of consecutive naturals, for example, 871 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (2059764).

Almost surely, 2^53301456 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 53301456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82390560).

53301456 is an abundant number, since it is smaller than the sum of its proper divisors (111479664).

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

53301456 is a wasteful number, since it uses less digits than its factorization.

53301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53301456 is about 7300.7846153684. The cubic root of 53301456 is about 376.3394023082.

It can be divided in two parts, 5330 and 1456, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 53301456 in words is "fifty-three million, three hundred one thousand, four hundred fifty-six".