434978856 has 256 divisors, whose sum is σ = 1419264000. Its totient is φ = 122238720.

The previous prime is 434978833. The next prime is 434978879. The reversal of 434978856 is 658879434.

It is an interprime number because it is at equal distance from previous prime (434978833) and next prime (434978879).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1653781 + ... + 1654043.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2^434978856 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 434978856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632000).

434978856 is an abundant number, since it is smaller than the sum of its proper divisors (984285144).

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

434978856 is a wasteful number, since it uses less digits than its factorization.

434978856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 434978856 is about 20856.1467198522. The cubic root of 434978856 is about 757.6862085113.

The spelling of 434978856 in words is "four hundred thirty-four million, nine hundred seventy-eight thousand, eight hundred fifty-six".