434783040 has 112 divisors (see below), whose sum is σ = 1385425728. Its totient is φ = 115523584.

The previous prime is 434783021. The next prime is 434783059. The reversal of 434783040 is 40387434.

It is an interprime number because it is at equal distance from previous prime (434783021) and next prime (434783059).

It is a junction number, because it is equal to n+sod(n) for n = 434782992 and 434783010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338239 + ... + 339521.

Almost surely, 2^434783040 is an apocalyptic number.

434783040 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 434783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692712864).

434783040 is an abundant number, since it is smaller than the sum of its proper divisors (950642688).

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

434783040 is a wasteful number, since it uses less digits than its factorization.

434783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 434783040 is about 20851.4517480198. The cubic root of 434783040 is about 757.5724946685.

The spelling of 434783040 in words is "four hundred thirty-four million, seven hundred eighty-three thousand, forty".