464601940 has 48 divisors (see below), whose sum is σ = 1072088640. Its totient is φ = 167719680.

The previous prime is 464601913. The next prime is 464601947. The reversal of 464601940 is 49106464.

It is a junction number, because it is equal to n+sod(n) for n = 464601896 and 464601905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464601947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22984 + ... + 38176.

It is an arithmetic number, because the mean of its divisors is an integer number (22335180).

Almost surely, 2^464601940 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 464601940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536044320).

464601940 is an abundant number, since it is smaller than the sum of its proper divisors (607486700).

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

464601940 is a wasteful number, since it uses less digits than its factorization.

464601940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15352 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 464601940 is about 21554.6268814842. The cubic root of 464601940 is about 774.5099586769.

It can be divided in two parts, 46460 and 1940, that added together give a square (48400 = 220²).

The spelling of 464601940 in words is "four hundred sixty-four million, six hundred one thousand, nine hundred forty".