434636040 has 128 divisors (see below), whose sum is σ = 1365154560. Its totient is φ = 110582784.

The previous prime is 434636017. The next prime is 434636051. The reversal of 434636040 is 40636434.

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 = 434635989 and 434636007.

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, 234397 + ... + 236243.

It is an arithmetic number, because the mean of its divisors is an integer number (10665270).

Almost surely, 2^434636040 is an apocalyptic number.

434636040 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 434636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682577280).

434636040 is an abundant number, since it is smaller than the sum of its proper divisors (930518520).

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

434636040 is a wasteful number, since it uses less digits than its factorization.

434636040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 434636040 is about 20847.9265156034. The cubic root of 434636040 is about 757.4871067091.

The spelling of 434636040 in words is "four hundred thirty-four million, six hundred thirty-six thousand, forty".