53629350 has 48 divisors (see below), whose sum is σ = 135848448. Its totient is φ = 13995040.

The previous prime is 53629337. The next prime is 53629369. The reversal of 53629350 is 5392635.

It is a super-2 number, since 2×53629350² = 5752214362845000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247 + ... + 10853.

It is an arithmetic number, because the mean of its divisors is an integer number (2830176).

Almost surely, 2^53629350 is an apocalyptic number.

53629350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53629350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67924224).

53629350 is an abundant number, since it is smaller than the sum of its proper divisors (82219098).

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

53629350 is a wasteful number, since it uses less digits than its factorization.

53629350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7669 (or 7664 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 53629350 is about 7323.2062650181. The cubic root of 53629350 is about 377.1095329584.

The spelling of 53629350 in words is "fifty-three million, six hundred twenty-nine thousand, three hundred fifty".