45629760 has 224 divisors, whose sum is σ = 164592000. Its totient is φ = 10608640.

The previous prime is 45629743. The next prime is 45629791. The reversal of 45629760 is 6792654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306166 + ... + 306314.

Almost surely, 2^45629760 is an apocalyptic number.

45629760 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 45629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82296000).

45629760 is an abundant number, since it is smaller than the sum of its proper divisors (118962240).

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

45629760 is a wasteful number, since it uses less digits than its factorization.

45629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 45629760 is about 6754.9803848716. The cubic root of 45629760 is about 357.3409010550.

The spelling of 45629760 in words is "forty-five million, six hundred twenty-nine thousand, seven hundred sixty".