464303440 has 40 divisors (see below), whose sum is σ = 1089079848. Its totient is φ = 184074240.

The previous prime is 464303429. The next prime is 464303443. The reversal of 464303440 is 44303464.

It can be written as a sum of positive squares in 4 ways, for example, as 40602384 + 423701056 = 6372^2 + 20584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 464303399 and 464303408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464303443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16641 + ... + 34720.

Almost surely, 2^464303440 is an apocalyptic number.

464303440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464303440 is an abundant number, since it is smaller than the sum of its proper divisors (624776408).

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

464303440 is a wasteful number, since it uses less digits than its factorization.

464303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51487 (or 51481 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 464303440 is about 21547.7015015523. The cubic root of 464303440 is about 774.3440526739.

The spelling of 464303440 in words is "four hundred sixty-four million, three hundred three thousand, four hundred forty".