468477600 has 288 divisors, whose sum is σ = 1619896320. Its totient is φ = 117411840.

The previous prime is 468477587. The next prime is 468477613. The reversal of 468477600 is 6774864.

It is an interprime number because it is at equal distance from previous prime (468477587) and next prime (468477613).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3688737 + ... + 3688863.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^468477600 is an apocalyptic number.

468477600 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 468477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

468477600 is an abundant number, since it is smaller than the sum of its proper divisors (1151418720).

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

468477600 is a wasteful number, since it uses less digits than its factorization.

468477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 468477600 is about 21644.3433718836. The cubic root of 468477600 is about 776.6576244186.

The spelling of 468477600 in words is "four hundred sixty-eight million, four hundred seventy-seven thousand, six hundred".