434868300 has 108 divisors (see below), whose sum is σ = 1381951480. Its totient is φ = 114359040.

The previous prime is 434868283. The next prime is 434868419. The reversal of 434868300 is 3868434.

434868300 is a `hidden beast` number, since 4 + 348 + 6 + 8 + 300 = 666.

It is a super-2 number, since 2×434868300² = 378220876689780000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62391 + ... + 69009.

Almost surely, 2^434868300 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 434868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690975740).

434868300 is an abundant number, since it is smaller than the sum of its proper divisors (947083180).

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

434868300 is a wasteful number, since it uses less digits than its factorization.

434868300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 434868300 is about 20853.4961097654. The cubic root of 434868300 is about 757.6220108665.

The spelling of 434868300 in words is "four hundred thirty-four million, eight hundred sixty-eight thousand, three hundred".