30957420 has 144 divisors (see below), whose sum is σ = 97396992. Its totient is φ = 7338240.

The previous prime is 30957401. The next prime is 30957457. The reversal of 30957420 is 2475903.

30957420 = 625² + 626² + ... + 695².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435985 + ... + 436055.

It is an arithmetic number, because the mean of its divisors is an integer number (676368).

Almost surely, 2^30957420 is an apocalyptic number.

30957420 is a gapful number since it is divisible by the number (30) 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 30957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48698496).

30957420 is an abundant number, since it is smaller than the sum of its proper divisors (66439572).

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

30957420 is a wasteful number, since it uses less digits than its factorization.

30957420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 30957420 is about 5563.9392520048. The cubic root of 30957420 is about 313.9941713930.

The spelling of 30957420 in words is "thirty million, nine hundred fifty-seven thousand, four hundred twenty".