610451952 has 160 divisors (see below), whose sum is σ = 1783385856. Its totient is φ = 178329600.

The previous prime is 610451923. The next prime is 610451971. The reversal of 610451952 is 259154016.

It is a super-2 number, since 2×610451952² = 745303171401220608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3528538 + ... + 3528710.

Almost surely, 2^610451952 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 610451952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891692928).

610451952 is an abundant number, since it is smaller than the sum of its proper divisors (1172933904).

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

610451952 is a wasteful number, since it uses less digits than its factorization.

610451952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 610451952 is about 24707.3258771564. The cubic root of 610451952 is about 848.3020091370.

The spelling of 610451952 in words is "six hundred ten million, four hundred fifty-one thousand, nine hundred fifty-two".