464064040 has 48 divisors (see below), whose sum is σ = 1147707540. Its totient is φ = 168748800.

The previous prime is 464064001. The next prime is 464064049. The reversal of 464064040 is 40460464.

It can be written as a sum of positive squares in 2 ways, for example, as 434055556 + 30008484 = 20834^2 + 5478^2 .

It is a super-2 number, since 2×464064040² = 430710866442243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (464064049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43101 + ... + 52780.

Almost surely, 2^464064040 is an apocalyptic number.

464064040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464064040 is an abundant number, since it is smaller than the sum of its proper divisors (683643500).

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

464064040 is a wasteful number, since it uses less digits than its factorization.

464064040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95914 (or 95899 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 464064040 is about 21542.1456684333. The cubic root of 464064040 is about 774.2109430015.

The spelling of 464064040 in words is "four hundred sixty-four million, sixty-four thousand, forty".