435406464 has 96 divisors (see below), whose sum is σ = 1296231300. Its totient is φ = 140120064.

The previous prime is 435406427. The next prime is 435406469. The reversal of 435406464 is 464604534.

435406464 is a `hidden beast` number, since 4 + 3 + 5 + 4 + 0 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 432972864 + 2433600 = 20808^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (435406469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26892 + ... + 39924.

Almost surely, 2^435406464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 435406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648115650).

435406464 is an abundant number, since it is smaller than the sum of its proper divisors (860824836).

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

435406464 is a wasteful number, since it uses less digits than its factorization.

435406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13082 (or 13067 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 435406464 is about 20866.3955679940. The cubic root of 435406464 is about 757.9344095217.

The spelling of 435406464 in words is "four hundred thirty-five million, four hundred six thousand, four hundred sixty-four".