434242620 has 240 divisors, whose sum is σ = 1573387200. Its totient is φ = 98205696.

The previous prime is 434242579. The next prime is 434242639. The reversal of 434242620 is 26242434.

434242620 is a `hidden beast` number, since 4 + 34 + 2 + 4 + 2 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1689532 + ... + 1689788.

It is an arithmetic number, because the mean of its divisors is an integer number (6555780).

Almost surely, 2^434242620 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 434242620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786693600).

434242620 is an abundant number, since it is smaller than the sum of its proper divisors (1139144580).

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

434242620 is a wasteful number, since it uses less digits than its factorization.

434242620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 434242620 is about 20838.4889087477. The cubic root of 434242620 is about 757.2584858921.

The spelling of 434242620 in words is "four hundred thirty-four million, two hundred forty-two thousand, six hundred twenty".