434144640 has 256 divisors, whose sum is σ = 1501701120. Its totient is φ = 106266624.

The previous prime is 434144639. The next prime is 434144653. The reversal of 434144640 is 46441434.

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 = 434144598 and 434144607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1533939 + ... + 1534221.

It is an arithmetic number, because the mean of its divisors is an integer number (5866020).

Almost surely, 2^434144640 is an apocalyptic number.

434144640 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 434144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750850560).

434144640 is an abundant number, since it is smaller than the sum of its proper divisors (1067556480).

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

434144640 is a wasteful number, since it uses less digits than its factorization.

434144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 434144640 is about 20836.1378379008. The cubic root of 434144640 is about 757.2015271290.

The spelling of 434144640 in words is "four hundred thirty-four million, one hundred forty-four thousand, six hundred forty".