430980480 has 384 divisors, whose sum is σ = 1779084000. Its totient is φ = 98316288.

The previous prime is 430980461. The next prime is 430980497. The reversal of 430980480 is 84089034.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846466 + ... + 846974.

Almost surely, 2^430980480 is an apocalyptic number.

430980480 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 430980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889542000).

430980480 is an abundant number, since it is smaller than the sum of its proper divisors (1348103520).

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

430980480 is a wasteful number, since it uses less digits than its factorization.

430980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 430980480 is about 20760.0693640460. The cubic root of 430980480 is about 755.3574787700.

The spelling of 430980480 in words is "four hundred thirty million, nine hundred eighty thousand, four hundred eighty".