54629800 has 24 divisors (see below), whose sum is σ = 127014750. Its totient is φ = 21851840.

The previous prime is 54629759. The next prime is 54629801. The reversal of 54629800 is 892645.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38613796 + 16016004 = 6214^2 + 4002^2 .

It is not an unprimeable number, because it can be changed into a prime (54629801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 136375 + ... + 136774.

Almost surely, 2^54629800 is an apocalyptic number.

54629800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54629800 is an abundant number, since it is smaller than the sum of its proper divisors (72384950).

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

54629800 is a wasteful number, since it uses less digits than its factorization.

54629800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273165 (or 273156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 54629800 is about 7391.1974672579. The cubic root of 54629800 is about 379.4400802724.

The spelling of 54629800 in words is "fifty-four million, six hundred twenty-nine thousand, eight hundred".