45123408 has 120 divisors (see below), whose sum is σ = 140321376. Its totient is φ = 13420800.

The previous prime is 45123371. The next prime is 45123413. The reversal of 45123408 is 80432154.

It is a super-2 number, since 2×45123408² = 4072243899068928, 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 23 ways as a sum of consecutive naturals, for example, 96391 + ... + 96857.

Almost surely, 2^45123408 is an apocalyptic number.

45123408 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 45123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70160688).

45123408 is an abundant number, since it is smaller than the sum of its proper divisors (95197968).

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

45123408 is a wasteful number, since it uses less digits than its factorization.

45123408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45123408 is about 6717.3959240170. The cubic root of 45123408 is about 356.0141811462.

The spelling of 45123408 in words is "forty-five million, one hundred twenty-three thousand, four hundred eight".