417462880 has 96 divisors (see below), whose sum is σ = 1089837504. Its totient is φ = 150306816.

The previous prime is 417462853. The next prime is 417462887. The reversal of 417462880 is 88264714.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417462887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59224 + ... + 65896.

It is an arithmetic number, because the mean of its divisors is an integer number (11352474).

Almost surely, 2^417462880 is an apocalyptic number.

417462880 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 417462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544918752).

417462880 is an abundant number, since it is smaller than the sum of its proper divisors (672374624).

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

417462880 is a wasteful number, since it uses less digits than its factorization.

417462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6720 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 417462880 is about 20431.9083788079. The cubic root of 417462880 is about 747.3762422677.

The spelling of 417462880 in words is "four hundred seventeen million, four hundred sixty-two thousand, eight hundred eighty".