610416432 has 40 divisors (see below), whose sum is σ = 1752122480. Its totient is φ = 203472000.

The previous prime is 610416413. The next prime is 610416449. The reversal of 610416432 is 234614016.

610416432 is a `hidden beast` number, since 6 + 10 + 4 + 1 + 643 + 2 = 666.

It is a super-2 number, since 2×610416432² = 745216440911221248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 610416396 and 610416405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706069 + ... + 706932.

It is an arithmetic number, because the mean of its divisors is an integer number (43803062).

Almost surely, 2^610416432 is an apocalyptic number.

It is an amenable number.

610416432 is an abundant number, since it is smaller than the sum of its proper divisors (1141706048).

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

610416432 is a wasteful number, since it uses less digits than its factorization.

610416432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413018 (or 1413006 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 610416432 is about 24706.6070515561. The cubic root of 610416432 is about 848.2855556052.

The spelling of 610416432 in words is "six hundred ten million, four hundred sixteen thousand, four hundred thirty-two".