464001820 has 48 divisors (see below), whose sum is σ = 1000647648. Its totient is φ = 180633600.

The previous prime is 464001817. The next prime is 464001823. The reversal of 464001820 is 28100464.

It is an interprime number because it is at equal distance from previous prime (464001817) and next prime (464001823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464001823) 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, 289020 + ... + 290620.

It is an arithmetic number, because the mean of its divisors is an integer number (20846826).

Almost surely, 2^464001820 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 464001820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500323824).

464001820 is an abundant number, since it is smaller than the sum of its proper divisors (536645828).

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

464001820 is a wasteful number, since it uses less digits than its factorization.

464001820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 464001820 is about 21540.7014741860. The cubic root of 464001820 is about 774.1763403362.

The spelling of 464001820 in words is "four hundred sixty-four million, one thousand, eight hundred twenty".