434931240 has 128 divisors (see below), whose sum is σ = 1378713600. Its totient is φ = 109589760.

The previous prime is 434931131. The next prime is 434931269. The reversal of 434931240 is 42139434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 434931198 and 434931207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158601 + ... + 161319.

It is an arithmetic number, because the mean of its divisors is an integer number (10771200).

Almost surely, 2^434931240 is an apocalyptic number.

434931240 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 434931240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689356800).

434931240 is an abundant number, since it is smaller than the sum of its proper divisors (943782360).

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

434931240 is a wasteful number, since it uses less digits than its factorization.

434931240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 434931240 is about 20855.0051546385. The cubic root of 434931240 is about 757.6585601919.

The spelling of 434931240 in words is "four hundred thirty-four million, nine hundred thirty-one thousand, two hundred forty".