45416007 has 48 divisors (see below), whose sum is σ = 84284928. Its totient is φ = 22904640.

The previous prime is 45416003. The next prime is 45416009. The reversal of 45416007 is 70061454.

45416007 is a `hidden beast` number, since 4 + 54 + 1 + 600 + 7 = 666.

It is not a de Polignac number, because 45416007 - 2² = 45416003 is a prime.

It is a super-2 number, since 2×45416007² = 4125227383648098, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45416003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17632 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 2^45416007 is an apocalyptic number.

45416007 is a deficient number, since it is larger than the sum of its proper divisors (38868921).

45416007 is a wasteful number, since it uses less digits than its factorization.

45416007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45416007 is about 6739.1399302878. The cubic root of 45416007 is about 356.7820386460.

It can be divided in two parts, 454 and 16007, that added together give a palindrome (16461).

The spelling of 45416007 in words is "forty-five million, four hundred sixteen thousand, seven".