45239040 has 576 divisors, whose sum is σ = 211921920. Its totient is φ = 8847360.

The previous prime is 45239039. The next prime is 45239063. The reversal of 45239040 is 4093254.

It is a tau number, because it is divible by the number of its divisors (576).

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 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 = 45238995 and 45239013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2661112 + ... + 2661128.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 2^45239040 is an apocalyptic number.

45239040 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 45239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

45239040 is an abundant number, since it is smaller than the sum of its proper divisors (166682880).

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

45239040 is a wasteful number, since it uses less digits than its factorization.

45239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45239040 is about 6725.9973238175. The cubic root of 45239040 is about 356.3180257908.

The spelling of 45239040 in words is "forty-five million, two hundred thirty-nine thousand, forty".