45938720 has 24 divisors (see below), whose sum is σ = 108530604. Its totient is φ = 18375424.

The previous prime is 45938707. The next prime is 45938729. The reversal of 45938720 is 2783954.

It can be written as a sum of positive squares in 2 ways, for example, as 40500496 + 5438224 = 6364^2 + 2332^2 .

It is a super-2 number, since 2×45938720² = 4220731990476800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45938729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143399 + ... + 143718.

Almost surely, 2^45938720 is an apocalyptic number.

45938720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45938720 is an abundant number, since it is smaller than the sum of its proper divisors (62591884).

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

45938720 is a wasteful number, since it uses less digits than its factorization.

45938720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287132 (or 287124 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 45938720 is about 6777.8108560213. The cubic root of 45938720 is about 358.1456082993.

The spelling of 45938720 in words is "forty-five million, nine hundred thirty-eight thousand, seven hundred twenty".