464280000 has 280 divisors, whose sum is σ = 1585405008. Its totient is φ = 119808000.

The previous prime is 464279983. The next prime is 464280007. The reversal of 464280000 is 82464.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464280007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6359964 + ... + 6360036.

Almost surely, 2^464280000 is an apocalyptic number.

464280000 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 464280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792702504).

464280000 is an abundant number, since it is smaller than the sum of its proper divisors (1121125008).

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

464280000 is an equidigital number, since it uses as much as digits as its factorization.

464280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 464280000 is about 21547.1575851665. The cubic root of 464280000 is about 774.3310217344.

The spelling of 464280000 in words is "four hundred sixty-four million, two hundred eighty thousand".