464199540 has 144 divisors (see below), whose sum is σ = 1549243584. Its totient is φ = 103488000.

The previous prime is 464199529. The next prime is 464199553. The reversal of 464199540 is 45991464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 464199492 and 464199501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118615 + ... + 122465.

It is an arithmetic number, because the mean of its divisors is an integer number (10758636).

Almost surely, 2^464199540 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 464199540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774621792).

464199540 is an abundant number, since it is smaller than the sum of its proper divisors (1085044044).

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

464199540 is a wasteful number, since it uses less digits than its factorization.

464199540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 464199540 is about 21545.2904366592. The cubic root of 464199540 is about 774.2862884747.

The spelling of 464199540 in words is "four hundred sixty-four million, one hundred ninety-nine thousand, five hundred forty".