414425088 has 336 divisors, whose sum is σ = 1513002816. Its totient is φ = 106168320.

The previous prime is 414425069. The next prime is 414425111. The reversal of 414425088 is 880524414.

414425088 is a `hidden beast` number, since 4 + 144 + 2 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677020 + ... + 5677092.

Almost surely, 2^414425088 is an apocalyptic number.

414425088 is a gapful number since it is divisible by the number (48) 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 414425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756501408).

414425088 is an abundant number, since it is smaller than the sum of its proper divisors (1098577728).

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

414425088 is a wasteful number, since it uses less digits than its factorization.

414425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 414425088 is about 20357.4332370267. The cubic root of 414425088 is about 745.5589925073.

The spelling of 414425088 in words is "four hundred fourteen million, four hundred twenty-five thousand, eighty-eight".