120450456 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 31933440.

The previous prime is 120450419. The next prime is 120450461. The reversal of 120450456 is 654054021.

120450456 is a `hidden beast` number, since 1 + 204 + 5 + 0 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1797735 + ... + 1797801.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^120450456 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 120450456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

120450456 is an abundant number, since it is smaller than the sum of its proper divisors (290813544).

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

120450456 is a wasteful number, since it uses less digits than its factorization.

120450456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 120450456 is about 10974.9923006807. The cubic root of 120450456 is about 493.8588220109.

The spelling of 120450456 in words is "one hundred twenty million, four hundred fifty thousand, four hundred fifty-six".