45984480 has 48 divisors (see below), whose sum is σ = 144852624. Its totient is φ = 12262400.

The previous prime is 45984469. The next prime is 45984539. The reversal of 45984480 is 8448954.

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

It is a super-2 number, since 2×45984480² = 4229144801740800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47421 + ... + 48380.

It is an arithmetic number, because the mean of its divisors is an integer number (3017763).

Almost surely, 2^45984480 is an apocalyptic number.

45984480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45984480 is an abundant number, since it is smaller than the sum of its proper divisors (98868144).

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

45984480 is a wasteful number, since it uses less digits than its factorization.

45984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95819 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 45984480 is about 6781.1857370227. The cubic root of 45984480 is about 358.2644862624.

It can be divided in two parts, 45984 and 480, that added together give a palindrome (46464).

The spelling of 45984480 in words is "forty-five million, nine hundred eighty-four thousand, four hundred eighty".