434871360 has 672 divisors, whose sum is σ = 1951402752. Its totient is φ = 86261760.

The previous prime is 434871331. The next prime is 434871377. The reversal of 434871360 is 63178434.

434871360 is a `hidden beast` number, since 43 + 487 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×434871360² = 378226199496499200, 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 95 ways as a sum of consecutive naturals, for example, 8205094 + ... + 8205146.

Almost surely, 2^434871360 is an apocalyptic number.

434871360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975701376).

434871360 is an abundant number, since it is smaller than the sum of its proper divisors (1516531392).

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

434871360 is a wasteful number, since it uses less digits than its factorization.

434871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 434871360 is about 20853.5694786288. The cubic root of 434871360 is about 757.6237878933.

The spelling of 434871360 in words is "four hundred thirty-four million, eight hundred seventy-one thousand, three hundred sixty".