434240760 has 64 divisors (see below), whose sum is σ = 1304196480. Its totient is φ = 115666560.

The previous prime is 434240753. The next prime is 434240783. The reversal of 434240760 is 67042434.

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

It is a zygodrome in base 2.

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, 153519 + ... + 156321.

It is an arithmetic number, because the mean of its divisors is an integer number (20378070).

Almost surely, 2^434240760 is an apocalyptic number.

434240760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434240760 is an abundant number, since it is smaller than the sum of its proper divisors (869955720).

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

434240760 is a wasteful number, since it uses less digits than its factorization.

434240760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 434240760 is about 20838.4442797441. Note that the first 3 decimals coincide. The cubic root of 434240760 is about 757.2574046972.

The spelling of 434240760 in words is "four hundred thirty-four million, two hundred forty thousand, seven hundred sixty".