613472000 has 144 divisors (see below), whose sum is σ = 1610263200. Its totient is φ = 232243200.

The previous prime is 613471997. The next prime is 613472011. The reversal of 613472000 is 274316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607496 + ... + 608504.

Almost surely, 2^613472000 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 613472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805131600).

613472000 is an abundant number, since it is smaller than the sum of its proper divisors (996791200).

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

613472000 is a wasteful number, since it uses less digits than its factorization.

613472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 613472000 is about 24768.3669223467. The cubic root of 613472000 is about 849.6986244143.

The spelling of 613472000 in words is "six hundred thirteen million, four hundred seventy-two thousand".