464204020 has 48 divisors (see below), whose sum is σ = 1117509120. Its totient is φ = 158667264.

The previous prime is 464203981. The next prime is 464204047. The reversal of 464204020 is 20402464.

It is a junction number, because it is equal to n+sod(n) for n = 464203982 and 464204000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42261 + ... + 52099.

It is an arithmetic number, because the mean of its divisors is an integer number (23281440).

Almost surely, 2^464204020 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 464204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558754560).

464204020 is an abundant number, since it is smaller than the sum of its proper divisors (653305100).

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

464204020 is a wasteful number, since it uses less digits than its factorization.

464204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 464204020 is about 21545.3944034450. The cubic root of 464204020 is about 774.2887793514.

Adding to 464204020 its reverse (20402464), we get a palindrome (484606484).

The spelling of 464204020 in words is "four hundred sixty-four million, two hundred four thousand, twenty".