30400576 has 56 divisors (see below), whose sum is σ = 62727840. Its totient is φ = 14610432.

The previous prime is 30400571. The next prime is 30400597. The reversal of 30400576 is 67500403.

It is a super-2 number, since 2×30400576² = 1848390042263552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30400576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30400571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313360 + ... + 313456.

It is an arithmetic number, because the mean of its divisors is an integer number (1120140).

Almost surely, 2^30400576 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 30400576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31363920).

30400576 is an abundant number, since it is smaller than the sum of its proper divisors (32327264).

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

30400576 is an equidigital number, since it uses as much as digits as its factorization.

30400576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 30400576 is about 5513.6717348787. The cubic root of 30400576 is about 312.1001212753.

Adding to 30400576 its reverse (67500403), we get a palindrome (97900979).

It can be divided in two parts, 30400 and 576, that added together give a square (30976 = 176²).

The spelling of 30400576 in words is "thirty million, four hundred thousand, five hundred seventy-six".