415622880 has 384 divisors, whose sum is σ = 1567641600. Its totient is φ = 102592512.

The previous prime is 415622869. The next prime is 415622881. The reversal of 415622880 is 88226514.

415622880 = T₂₇₉ + T₂₈₀ + ... + T₁₃₅₉.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415622881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4669876 + ... + 4669964.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^415622880 is an apocalyptic number.

415622880 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 415622880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

415622880 is an abundant number, since it is smaller than the sum of its proper divisors (1152018720).

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

415622880 is a wasteful number, since it uses less digits than its factorization.

415622880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 415622880 is about 20386.8310435928. The cubic root of 415622880 is about 746.2765855027.

The spelling of 415622880 in words is "four hundred fifteen million, six hundred twenty-two thousand, eight hundred eighty".