464487300 has 216 divisors, whose sum is σ = 1600522560. Its totient is φ = 112147200.

The previous prime is 464487299. The next prime is 464487301. The reversal of 464487300 is 3784464.

464487300 is a `hidden beast` number, since 4 + 644 + 8 + 7 + 3 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (464487299) and next prime (464487301).

It is a super-2 number, since 2×464487300² = 431496903722580000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464487301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392710 + ... + 393890.

Almost surely, 2^464487300 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 464487300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800261280).

464487300 is an abundant number, since it is smaller than the sum of its proper divisors (1136035260).

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

464487300 is a wasteful number, since it uses less digits than its factorization.

464487300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 464487300 is about 21551.9674275923. The cubic root of 464487300 is about 774.4462502864.

The spelling of 464487300 in words is "four hundred sixty-four million, four hundred eighty-seven thousand, three hundred".