45767904 has 192 divisors, whose sum is σ = 153538560. Its totient is φ = 11681280.

The previous prime is 45767899. The next prime is 45767921. The reversal of 45767904 is 40976754.

45767904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1476369 + ... + 1476399.

It is an arithmetic number, because the mean of its divisors is an integer number (799680).

Almost surely, 2^45767904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45767904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

45767904 is an abundant number, since it is smaller than the sum of its proper divisors (107770656).

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

45767904 is a wasteful number, since it uses less digits than its factorization.

45767904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 45767904 is about 6765.1980015370. The cubic root of 45767904 is about 357.7011540134.

The spelling of 45767904 in words is "forty-five million, seven hundred sixty-seven thousand, nine hundred four".