434916480 has 256 divisors, whose sum is σ = 1467331200. Its totient is φ = 109412352.

The previous prime is 434916467. The next prime is 434916481. The reversal of 434916480 is 84619434.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434916481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4064587 + ... + 4064693.

Almost surely, 2^434916480 is an apocalyptic number.

434916480 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 434916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733665600).

434916480 is an abundant number, since it is smaller than the sum of its proper divisors (1032414720).

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

434916480 is a wasteful number, since it uses less digits than its factorization.

434916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 434916480 is about 20854.6512797505. The cubic root of 434916480 is about 757.6499893606.

The spelling of 434916480 in words is "four hundred thirty-four million, nine hundred sixteen thousand, four hundred eighty".