414779904 has 360 divisors, whose sum is σ = 1528214688. Its totient is φ = 107089920.

The previous prime is 414779891. The next prime is 414779909. The reversal of 414779904 is 409977414.

It is a self number, because there is not a number n which added to its sum of digits gives 414779904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414779909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2483629 + ... + 2483795.

Almost surely, 2^414779904 is an apocalyptic number.

414779904 is a gapful number since it is divisible by the number (44) 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 414779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764107344).

414779904 is an abundant number, since it is smaller than the sum of its proper divisors (1113434784).

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

414779904 is a wasteful number, since it uses less digits than its factorization.

414779904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 414779904 is about 20366.1460271697. The cubic root of 414779904 is about 745.7717054981.

The spelling of 414779904 in words is "four hundred fourteen million, seven hundred seventy-nine thousand, nine hundred four".