54629040 has 160 divisors (see below), whose sum is σ = 179988480. Its totient is φ = 13683712.

The previous prime is 54629027. The next prime is 54629077. The reversal of 54629040 is 4092645.

It is a super-2 number, since 2×54629040² = 5968664022643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54628989 and 54629007.

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, 327037 + ... + 327203.

It is an arithmetic number, because the mean of its divisors is an integer number (1124928).

Almost surely, 2^54629040 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 54629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

54629040 is an abundant number, since it is smaller than the sum of its proper divisors (125359440).

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

54629040 is a wasteful number, since it uses less digits than its factorization.

54629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 54629040 is about 7391.1460545710. The cubic root of 54629040 is about 379.4383206968.

The spelling of 54629040 in words is "fifty-four million, six hundred twenty-nine thousand, forty".