414912480 has 96 divisors (see below), whose sum is σ = 1309851648. Its totient is φ = 110400000.

The previous prime is 414912469. The next prime is 414912499. The reversal of 414912480 is 84219414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359905 + ... + 361055.

It is an arithmetic number, because the mean of its divisors is an integer number (13644288).

Almost surely, 2^414912480 is an apocalyptic number.

414912480 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 414912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654925824).

414912480 is an abundant number, since it is smaller than the sum of its proper divisors (894939168).

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

414912480 is a wasteful number, since it uses less digits than its factorization.

414912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 414912480 is about 20369.4005802822. The cubic root of 414912480 is about 745.8511539771.

The spelling of 414912480 in words is "four hundred fourteen million, nine hundred twelve thousand, four hundred eighty".