45762480 has 60 divisors (see below), whose sum is σ = 153688080. Its totient is φ = 12203136.

The previous prime is 45762461. The next prime is 45762481. The reversal of 45762480 is 8426754.

45762480 is a `hidden beast` number, since 4 + 576 + 2 + 4 + 80 = 666.

45762480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45762481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31060 + ... + 32499.

It is an arithmetic number, because the mean of its divisors is an integer number (2561468).

Almost surely, 2^45762480 is an apocalyptic number.

45762480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45762480 is an abundant number, since it is smaller than the sum of its proper divisors (107925600).

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

45762480 is a wasteful number, since it uses less digits than its factorization.

45762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63578 (or 63569 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45762480 is about 6764.7971144743. The cubic root of 45762480 is about 357.6870229481.

It can be divided in two parts, 4576 and 2480, that added together give a square (7056 = 84²).

The spelling of 45762480 in words is "forty-five million, seven hundred sixty-two thousand, four hundred eighty".