464943400 has 48 divisors (see below), whose sum is σ = 1091743740. Its totient is φ = 184128000.

The previous prime is 464943397. The next prime is 464943419. The reversal of 464943400 is 4349464.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 308142916 + 156800484 = 17554^2 + 12522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 31708.

Almost surely, 2^464943400 is an apocalyptic number.

464943400 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 464943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545871870).

464943400 is an abundant number, since it is smaller than the sum of its proper divisors (626800340).

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

464943400 is a wasteful number, since it uses less digits than its factorization.

464943400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23134 (or 23125 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 464943400 is about 21562.5462318345. The cubic root of 464943400 is about 774.6996546903.

It can be divided in two parts, 46494 and 3400, that added together give a palindrome (49894).

The spelling of 464943400 in words is "four hundred sixty-four million, nine hundred forty-three thousand, four hundred".