464669040 has 120 divisors (see below), whose sum is σ = 1583429904. Its totient is φ = 112640000.

The previous prime is 464669039. The next prime is 464669083. The reversal of 464669040 is 40966464.

464669040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 464669040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21040 + ... + 37040.

Almost surely, 2^464669040 is an apocalyptic number.

464669040 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 464669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791714952).

464669040 is an abundant number, since it is smaller than the sum of its proper divisors (1118760864).

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

464669040 is a wasteful number, since it uses less digits than its factorization.

464669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16039 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 464669040 is about 21556.1833356464. The cubic root of 464669040 is about 774.5472430072.

The spelling of 464669040 in words is "four hundred sixty-four million, six hundred sixty-nine thousand, forty".