406624634 has 32 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 181987200.

The previous prime is 406624633. The next prime is 406624651. The reversal of 406624634 is 436426604.

It is a super-3 number, since 3×406624634³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 406624594 and 406624603.

It is not an unprimeable number, because it can be changed into a prime (406624633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189749 + ... + 191879.

It is an arithmetic number, because the mean of its divisors is an integer number (21154770).

Almost surely, 2^406624634 is an apocalyptic number.

406624634 is a deficient number, since it is larger than the sum of its proper divisors (270328006).

406624634 is a wasteful number, since it uses less digits than its factorization.

406624634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366.

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 406624634 is about 20164.9357549187. The cubic root of 406624634 is about 740.8516090541.

The spelling of 406624634 in words is "four hundred six million, six hundred twenty-four thousand, six hundred thirty-four".