617957472 has 192 divisors, whose sum is σ = 1873428480. Its totient is φ = 176601600.

The previous prime is 617957467. The next prime is 617957477. The reversal of 617957472 is 274759716.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (617957467) and next prime (617957477).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (617957477) 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 31 ways as a sum of consecutive naturals, for example, 1407429 + ... + 1407867.

It is an arithmetic number, because the mean of its divisors is an integer number (9757440).

Almost surely, 2^617957472 is an apocalyptic number.

617957472 is a gapful number since it is divisible by the number (62) 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 617957472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936714240).

617957472 is an abundant number, since it is smaller than the sum of its proper divisors (1255471008).

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

617957472 is a wasteful number, since it uses less digits than its factorization.

617957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 617957472 is about 24858.7504110726. The cubic root of 617957472 is about 851.7644877936.

The spelling of 617957472 in words is "six hundred seventeen million, nine hundred fifty-seven thousand, four hundred seventy-two".