464265600 has 192 divisors, whose sum is σ = 1544700240. Its totient is φ = 122552320.

The previous prime is 464265583. The next prime is 464265601. The reversal of 464265600 is 6562464.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464265601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315024 + ... + 1315376.

Almost surely, 2^464265600 is an apocalyptic number.

464265600 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 464265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772350120).

464265600 is an abundant number, since it is smaller than the sum of its proper divisors (1080434640).

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

464265600 is a wasteful number, since it uses less digits than its factorization.

464265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 464265600 is about 21546.8234317730. The cubic root of 464265600 is about 774.3230161616.

The spelling of 464265600 in words is "four hundred sixty-four million, two hundred sixty-five thousand, six hundred".