30417920 has 88 divisors (see below), whose sum is σ = 78752184. Its totient is φ = 11206656.

The previous prime is 30417911. The next prime is 30417943. The reversal of 30417920 is 2971403.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 27206656 = 1792^2 + 5216^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 30417920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66332 + ... + 66788.

Almost surely, 2^30417920 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 30417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39376092).

30417920 is an abundant number, since it is smaller than the sum of its proper divisors (48334264).

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

30417920 is a wasteful number, since it uses less digits than its factorization.

30417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 30417920 is about 5515.2443282234. The cubic root of 30417920 is about 312.1594626446.

The spelling of 30417920 in words is "thirty million, four hundred seventeen thousand, nine hundred twenty".