45420480 has 224 divisors, whose sum is σ = 183367680. Its totient is φ = 10368000.

The previous prime is 45420457. The next prime is 45420491. The reversal of 45420480 is 8402454.

45420480 is a `hidden beast` number, since 454 + 204 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60105 + ... + 60855.

Almost surely, 2^45420480 is an apocalyptic number.

45420480 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 45420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91683840).

45420480 is an abundant number, since it is smaller than the sum of its proper divisors (137947200).

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

45420480 is a wasteful number, since it uses less digits than its factorization.

45420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45420480 is about 6739.4717893912. The cubic root of 45420480 is about 356.7937513568.

The spelling of 45420480 in words is "forty-five million, four hundred twenty thousand, four hundred eighty".