45978480 has 120 divisors (see below), whose sum is σ = 162586320. Its totient is φ = 11612160.

The previous prime is 45978451. The next prime is 45978497. The reversal of 45978480 is 8487954.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×45978480² = 4228041246220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12000 + ... + 15360.

It is an arithmetic number, because the mean of its divisors is an integer number (1354886).

Almost surely, 2^45978480 is an apocalyptic number.

45978480 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 45978480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81293160).

45978480 is an abundant number, since it is smaller than the sum of its proper divisors (116607840).

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

45978480 is a wasteful number, since it uses less digits than its factorization.

45978480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 45978480 is about 6780.7433220850. The cubic root of 45978480 is about 358.2489036106.

The spelling of 45978480 in words is "forty-five million, nine hundred seventy-eight thousand, four hundred eighty".