434860272 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 106168320.

The previous prime is 434860271. The next prime is 434860291. The reversal of 434860272 is 272068434.

434860272 is a `hidden beast` number, since 4 + 3 + 48 + 602 + 7 + 2 = 666.

It is a super-5 number, since 5×434860272⁵ (a number of 44 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434860271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565104 + ... + 565872.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^434860272 is an apocalyptic number.

434860272 is a gapful number since it is divisible by the number (42) 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 434860272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

434860272 is an abundant number, since it is smaller than the sum of its proper divisors (1215034128).

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

434860272 is a wasteful number, since it uses less digits than its factorization.

434860272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 434860272 is about 20853.3036231672. The cubic root of 434860272 is about 757.6173487447.

It can be divided in two parts, 4348 and 60272, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 434860272 in words is "four hundred thirty-four million, eight hundred sixty thousand, two hundred seventy-two".