415467984 has 40 divisors (see below), whose sum is σ = 1129783840. Its totient is φ = 131200128.

The previous prime is 415467973. The next prime is 415467991. The reversal of 415467984 is 489764514.

It is a super-2 number, since 2×415467984² = 345227291458048512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226867 + ... + 228690.

It is an arithmetic number, because the mean of its divisors is an integer number (28244596).

Almost surely, 2^415467984 is an apocalyptic number.

It is an amenable number.

415467984 is an abundant number, since it is smaller than the sum of its proper divisors (714315856).

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

415467984 is a wasteful number, since it uses less digits than its factorization.

415467984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455587 (or 455581 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 415467984 is about 20383.0317666435. The cubic root of 415467984 is about 746.1838655341.

The spelling of 415467984 in words is "four hundred fifteen million, four hundred sixty-seven thousand, nine hundred eighty-four".