45477040 has 120 divisors (see below), whose sum is σ = 128822112. Its totient is φ = 14622720.

The previous prime is 45477011. The next prime is 45477053. The reversal of 45477040 is 4077454.

It is a super-2 number, since 2×45477040² = 4136322334323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45476993 and 45477011.

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, 161700 + ... + 161980.

Almost surely, 2^45477040 is an apocalyptic number.

45477040 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 45477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411056).

45477040 is an abundant number, since it is smaller than the sum of its proper divisors (83345072).

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

45477040 is a wasteful number, since it uses less digits than its factorization.

45477040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 45477040 is about 6743.6666584285. Note that the first 4 decimals coincide. The cubic root of 45477040 is about 356.9417894508.

The spelling of 45477040 in words is "forty-five million, four hundred seventy-seven thousand, forty".