45854880 has 48 divisors (see below), whose sum is σ = 144444384. Its totient is φ = 12227840.

The previous prime is 45854873. The next prime is 45854881. The reversal of 45854880 is 8845854.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (45854881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47286 + ... + 48245.

It is an arithmetic number, because the mean of its divisors is an integer number (3009258).

Almost surely, 2^45854880 is an apocalyptic number.

45854880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45854880 is an abundant number, since it is smaller than the sum of its proper divisors (98589504).

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

45854880 is a wasteful number, since it uses less digits than its factorization.

45854880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95549 (or 95541 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 45854880 is about 6771.6231436783. The cubic root of 45854880 is about 357.9275989372.

The spelling of 45854880 in words is "forty-five million, eight hundred fifty-four thousand, eight hundred eighty".