45436608 has 168 divisors, whose sum is σ = 152156160. Its totient is φ = 12695040.

The previous prime is 45436583. The next prime is 45436609. The reversal of 45436608 is 80663454.

45436608 is a `hidden beast` number, since 4 + 5 + 43 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 (45436609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237793 + ... + 237983.

Almost surely, 2^45436608 is an apocalyptic number.

45436608 is a gapful number since it is divisible by the number (48) 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 45436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

45436608 is an abundant number, since it is smaller than the sum of its proper divisors (106719552).

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

45436608 is a wasteful number, since it uses less digits than its factorization.

45436608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45436608 is about 6740.6682161341. The cubic root of 45436608 is about 356.8359767191.

The spelling of 45436608 in words is "forty-five million, four hundred thirty-six thousand, six hundred eight".