45010080 has 240 divisors, whose sum is σ = 166852224. Its totient is φ = 11404800.

The previous prime is 45010079. The next prime is 45010081. The reversal of 45010080 is 8001054.

It is an interprime number because it is at equal distance from previous prime (45010079) and next prime (45010081).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (45010081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 298005 + ... + 298155.

Almost surely, 2^45010080 is an apocalyptic number.

45010080 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 45010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83426112).

45010080 is an abundant number, since it is smaller than the sum of its proper divisors (121842144).

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

45010080 is a wasteful number, since it uses less digits than its factorization.

45010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45010080 is about 6708.9552092707. The cubic root of 45010080 is about 355.7158866029.

The spelling of 45010080 in words is "forty-five million, ten thousand, eighty".