464146000 has 40 divisors (see below), whose sum is σ = 1122309864. Its totient is φ = 185657600.

The previous prime is 464145977. The next prime is 464146027. The reversal of 464146000 is 641464.

It can be written as a sum of positive squares in 4 ways, for example, as 57881664 + 406264336 = 7608^2 + 20156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114037 + ... + 118036.

Almost surely, 2^464146000 is an apocalyptic number.

464146000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464146000 is an abundant number, since it is smaller than the sum of its proper divisors (658163864).

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

464146000 is a wasteful number, since it uses less digits than its factorization.

464146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232096 (or 232080 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 464146000 is about 21544.0479019148. The cubic root of 464146000 is about 774.2565190342.

Adding to 464146000 its reverse (641464), we get a palindrome (464787464).

The spelling of 464146000 in words is "four hundred sixty-four million, one hundred forty-six thousand".