464544000 has 216 divisors, whose sum is σ = 1672601112. Its totient is φ = 123801600.

The previous prime is 464543987. The next prime is 464544013. The reversal of 464544000 is 445464.

It is an interprime number because it is at equal distance from previous prime (464543987) and next prime (464544013).

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 454201344 = 3216^2 + 21312^2 .

It is a super-2 number, since 2×464544000² = 431602255872000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287194 + ... + 288806.

Almost surely, 2^464544000 is an apocalyptic number.

464544000 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 464544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836300556).

464544000 is an abundant number, since it is smaller than the sum of its proper divisors (1208057112).

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

464544000 is a wasteful number, since it uses less digits than its factorization.

464544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 464544000 is about 21553.2828126019. The cubic root of 464544000 is about 774.4777612417.

Adding to 464544000 its reverse (445464), we get a palindrome (464989464).

The spelling of 464544000 in words is "four hundred sixty-four million, five hundred forty-four thousand".