307625472 has 480 divisors, whose sum is σ = 1205994240. Its totient is φ = 75202560.

The previous prime is 307625471. The next prime is 307625491. The reversal of 307625472 is 274526703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307625471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18095608 + ... + 18095624.

It is an arithmetic number, because the mean of its divisors is an integer number (2512488).

Almost surely, 2^307625472 is an apocalyptic number.

307625472 is a gapful number since it is divisible by the number (32) 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 307625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602997120).

307625472 is an abundant number, since it is smaller than the sum of its proper divisors (898368768).

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

307625472 is a wasteful number, since it uses less digits than its factorization.

307625472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 307625472 is about 17539.2551723270. The cubic root of 307625472 is about 675.0574963369.

The spelling of 307625472 in words is "three hundred seven million, six hundred twenty-five thousand, four hundred seventy-two".