53629472 has 48 divisors (see below), whose sum is σ = 114656472. Its totient is φ = 24545280.

The previous prime is 53629463. The next prime is 53629487. The reversal of 53629472 is 27492635.

It can be written as a sum of positive squares in 4 ways, for example, as 42042256 + 11587216 = 6484^2 + 3404^2 .

It is a super-2 number, since 2×53629472² = 5752240533997568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56522 + ... + 57462.

Almost surely, 2^53629472 is an apocalyptic number.

53629472 is a gapful number since it is divisible by the number (52) 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 53629472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57328236).

53629472 is an abundant number, since it is smaller than the sum of its proper divisors (61027000).

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

53629472 is a wasteful number, since it uses less digits than its factorization.

53629472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1093 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 53629472 is about 7323.2145946982. The cubic root of 53629472 is about 377.1098189171.

The spelling of 53629472 in words is "fifty-three million, six hundred twenty-nine thousand, four hundred seventy-two".