56429100 has 324 divisors, whose sum is σ = 223016976. Its totient is φ = 11681280.

The previous prime is 56429081. The next prime is 56429101. The reversal of 56429100 is 192465.

56429100 is a `hidden beast` number, since 5 + 642 + 9 + 10 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56429101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1064674 + ... + 1064726.

It is an arithmetic number, because the mean of its divisors is an integer number (688324).

Almost surely, 2^56429100 is an apocalyptic number.

56429100 is a gapful number since it is divisible by the number (50) 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 56429100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111508488).

56429100 is an abundant number, since it is smaller than the sum of its proper divisors (166587876).

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

56429100 is a wasteful number, since it uses less digits than its factorization.

56429100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56429100 is about 7511.9305108607. The cubic root of 56429100 is about 383.5609402344.

The spelling of 56429100 in words is "fifty-six million, four hundred twenty-nine thousand, one hundred".