464787400 has 96 divisors (see below), whose sum is σ = 1347324480. Its totient is φ = 144864000.

The previous prime is 464787391. The next prime is 464787403. The reversal of 464787400 is 4787464.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (464787403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310 + ... + 30490.

It is an arithmetic number, because the mean of its divisors is an integer number (14034630).

Almost surely, 2^464787400 is an apocalyptic number.

464787400 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 464787400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673662240).

464787400 is an abundant number, since it is smaller than the sum of its proper divisors (882537080).

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

464787400 is a wasteful number, since it uses less digits than its factorization.

464787400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30215 (or 30206 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 40.

The square root of 464787400 is about 21558.9285448048. The cubic root of 464787400 is about 774.6130013722.

The spelling of 464787400 in words is "four hundred sixty-four million, seven hundred eighty-seven thousand, four hundred".