434766420 has 192 divisors, whose sum is σ = 1504500480. Its totient is φ = 103334400.

The previous prime is 434766383. The next prime is 434766461. The reversal of 434766420 is 24667434.

434766420 is a `hidden beast` number, since 4 + 3 + 4 + 7 + 6 + 642 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 314130 + ... + 315510.

It is an arithmetic number, because the mean of its divisors is an integer number (7835940).

Almost surely, 2^434766420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434766420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752250240).

434766420 is an abundant number, since it is smaller than the sum of its proper divisors (1069734060).

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

434766420 is a wasteful number, since it uses less digits than its factorization.

434766420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 434766420 is about 20851.0532108093. The cubic root of 434766420 is about 757.5628415663.

The spelling of 434766420 in words is "four hundred thirty-four million, seven hundred sixty-six thousand, four hundred twenty".