434153640 has 64 divisors (see below), whose sum is σ = 1320831360. Its totient is φ = 114141440.

The previous prime is 434153639. The next prime is 434153647. The reversal of 434153640 is 46351434.

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 = 434153598 and 434153607.

It is not an unprimeable number, because it can be changed into a prime (434153647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16959 + ... + 33998.

It is an arithmetic number, because the mean of its divisors is an integer number (20637990).

Almost surely, 2^434153640 is an apocalyptic number.

434153640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434153640 is an abundant number, since it is smaller than the sum of its proper divisors (886677720).

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

434153640 is a wasteful number, since it uses less digits than its factorization.

434153640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51042 (or 51038 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 434153640 is about 20836.3538077083. The cubic root of 434153640 is about 757.2067594610.

The spelling of 434153640 in words is "four hundred thirty-four million, one hundred fifty-three thousand, six hundred forty".