45177840 has 120 divisors (see below), whose sum is σ = 160690608. Its totient is φ = 11335680.

The previous prime is 45177833. The next prime is 45177871. The reversal of 45177840 is 4877154.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 45177795 and 45177804.

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, 10395 + ... + 14085.

Almost surely, 2^45177840 is an apocalyptic number.

45177840 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 45177840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80345304).

45177840 is an abundant number, since it is smaller than the sum of its proper divisors (115512768).

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

45177840 is a wasteful number, since it uses less digits than its factorization.

45177840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 45177840 is about 6721.4462729386. The cubic root of 45177840 is about 356.1572759604.

The spelling of 45177840 in words is "forty-five million, one hundred seventy-seven thousand, eight hundred forty".