430896960 has 336 divisors, whose sum is σ = 1692499536. Its totient is φ = 99680256.

The previous prime is 430896959. The next prime is 430896967. The reversal of 430896960 is 69698034.

430896960 = T₂₇₁ + T₂₇₂ + ... + T₁₃₇₅.

It can be written as a sum of positive squares in 8 ways, for example, as 23503104 + 407393856 = 4848^2 + 20184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430896967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636142 + ... + 636818.

It is an arithmetic number, because the mean of its divisors is an integer number (5037201).

Almost surely, 2^430896960 is an apocalyptic number.

430896960 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 430896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846249768).

430896960 is an abundant number, since it is smaller than the sum of its proper divisors (1261602576).

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

430896960 is a wasteful number, since it uses less digits than its factorization.

430896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 430896960 is about 20758.0577126089. The cubic root of 430896960 is about 755.3086818714.

The spelling of 430896960 in words is "four hundred thirty million, eight hundred ninety-six thousand, nine hundred sixty".