45629640 has 192 divisors, whose sum is σ = 178588800. Its totient is φ = 9870336.

The previous prime is 45629627. The next prime is 45629653. The reversal of 45629640 is 4692654.

45629640 is a `hidden beast` number, since 4 + 5 + 6 + 2 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (45629627) and next prime (45629653).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45629595 and 45629604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47404 + ... + 48356.

It is an arithmetic number, because the mean of its divisors is an integer number (930150).

Almost surely, 2^45629640 is an apocalyptic number.

45629640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45629640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89294400).

45629640 is an abundant number, since it is smaller than the sum of its proper divisors (132959160).

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

45629640 is a wasteful number, since it uses less digits than its factorization.

45629640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45629640 is about 6754.9715025306. The cubic root of 45629640 is about 357.3405878023.

The spelling of 45629640 in words is "forty-five million, six hundred twenty-nine thousand, six hundred forty".