48625920 has 360 divisors, whose sum is σ = 201816384. Its totient is φ = 10948608.

The previous prime is 48625903. The next prime is 48625931. The reversal of 48625920 is 2952684.

48625920 = T₁₅₄ + T₁₅₅ + ... + T₆₆₅.

It is a happy number.

48625920 is a `hidden beast` number, since 4 + 8 + 62 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725727 + ... + 725793.

Almost surely, 2^48625920 is an apocalyptic number.

48625920 is a gapful number since it is divisible by the number (40) 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 48625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100908192).

48625920 is an abundant number, since it is smaller than the sum of its proper divisors (153190464).

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

48625920 is an equidigital number, since it uses as much as digits as its factorization.

48625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48625920 is about 6973.2288073747. The cubic root of 48625920 is about 364.9969850254.

The spelling of 48625920 in words is "forty-eight million, six hundred twenty-five thousand, nine hundred twenty".