612450720 has 480 divisors, whose sum is σ = 2543764608. Its totient is φ = 135862272.

The previous prime is 612450719. The next prime is 612450733. The reversal of 612450720 is 27054216.

612450720 is a `hidden beast` number, since 612 + 45 + 0 + 7 + 2 + 0 = 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3900882 + ... + 3901038.

Almost surely, 2^612450720 is an apocalyptic number.

612450720 is a gapful number since it is divisible by the number (60) 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 612450720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271882304).

612450720 is an abundant number, since it is smaller than the sum of its proper divisors (1931313888).

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

612450720 is a wasteful number, since it uses less digits than its factorization.

612450720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 612450720 is about 24747.7417151545. The cubic root of 612450720 is about 849.2268494439.

The spelling of 612450720 in words is "six hundred twelve million, four hundred fifty thousand, seven hundred twenty".