434464920 has 96 divisors (see below), whose sum is σ = 1495091520. Its totient is φ = 109040640.

The previous prime is 434464909. The next prime is 434464931. The reversal of 434464920 is 29464434.

434464920 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 649 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (434464909) and next prime (434464931).

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

It is a congruent number.

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, 29376 + ... + 41615.

It is an arithmetic number, because the mean of its divisors is an integer number (15573870).

Almost surely, 2^434464920 is an apocalyptic number.

434464920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434464920 is an abundant number, since it is smaller than the sum of its proper divisors (1060626600).

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

434464920 is a wasteful number, since it uses less digits than its factorization.

434464920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71025 (or 71018 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 434464920 is about 20843.8221063221. The cubic root of 434464920 is about 757.3876838997.

The spelling of 434464920 in words is "four hundred thirty-four million, four hundred sixty-four thousand, nine hundred twenty".