53429376 has 256 divisors, whose sum is σ = 191923200. Its totient is φ = 12718080.

The previous prime is 53429347. The next prime is 53429393. The reversal of 53429376 is 67392435.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 384315 + ... + 384453.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 2^53429376 is an apocalyptic number.

53429376 is a gapful number since it is divisible by the number (56) 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 53429376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

53429376 is an abundant number, since it is smaller than the sum of its proper divisors (138493824).

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

53429376 is a wasteful number, since it uses less digits than its factorization.

53429376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 53429376 is about 7309.5400676103. The cubic root of 53429376 is about 376.6402250824.

The spelling of 53429376 in words is "fifty-three million, four hundred twenty-nine thousand, three hundred seventy-six".