55429920 has 480 divisors, whose sum is σ = 245887488. Its totient is φ = 11446272.

The previous prime is 55429901. The next prime is 55429921. The reversal of 55429920 is 2992455.

It is a happy number.

55429920 is a `hidden beast` number, since 5 + 542 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55429921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179337 + ... + 1179383.

Almost surely, 2^55429920 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 55429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122943744).

55429920 is an abundant number, since it is smaller than the sum of its proper divisors (190457568).

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

55429920 is a wasteful number, since it uses less digits than its factorization.

55429920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55429920 is about 7445.1272655341. The cubic root of 55429920 is about 381.2835634699.

The spelling of 55429920 in words is "fifty-five million, four hundred twenty-nine thousand, nine hundred twenty".