45972480 has 176 divisors, whose sum is σ = 152689824. Its totient is φ = 11796480.

The previous prime is 45972449. The next prime is 45972481. The reversal of 45972480 is 8427954.

It is a super-2 number, since 2×45972480² = 4226937834700800, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45972481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629724 + ... + 629796.

Almost surely, 2^45972480 is an apocalyptic number.

45972480 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 45972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76344912).

45972480 is an abundant number, since it is smaller than the sum of its proper divisors (106717344).

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

45972480 is a wasteful number, since it uses less digits than its factorization.

45972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 45972480 is about 6780.3008782797. The cubic root of 45972480 is about 358.2333196031.

The spelling of 45972480 in words is "forty-five million, nine hundred seventy-two thousand, four hundred eighty".