45269640 has 192 divisors, whose sum is σ = 168058800. Its totient is φ = 10469376.

The previous prime is 45269629. The next prime is 45269663. The reversal of 45269640 is 4696254.

45269640 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 9 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9771876 + 35497764 = 3126^2 + 5958^2 .

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 = 45269595 and 45269604.

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, 79276 + ... + 79844.

Almost surely, 2^45269640 is an apocalyptic number.

45269640 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 45269640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

45269640 is an abundant number, since it is smaller than the sum of its proper divisors (122789160).

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

45269640 is a wasteful number, since it uses less digits than its factorization.

45269640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

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

The square root of 45269640 is about 6728.2716948708. The cubic root of 45269640 is about 356.3983463440.

The spelling of 45269640 in words is "forty-five million, two hundred sixty-nine thousand, six hundred forty".