414354420 has 48 divisors (see below), whose sum is σ = 1289104320. Its totient is φ = 110494368.

The previous prime is 414354403. The next prime is 414354427. The reversal of 414354420 is 24453414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414354427) 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, 383122 + ... + 384201.

It is an arithmetic number, because the mean of its divisors is an integer number (26856340).

Almost surely, 2^414354420 is an apocalyptic number.

It is an amenable number.

414354420 is an abundant number, since it is smaller than the sum of its proper divisors (874749900).

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

414354420 is a wasteful number, since it uses less digits than its factorization.

414354420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767341 (or 767333 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 414354420 is about 20355.6974825232. The cubic root of 414354420 is about 745.5166123848.

The spelling of 414354420 in words is "four hundred fourteen million, three hundred fifty-four thousand, four hundred twenty".