468857025 has 192 divisors, whose sum is σ = 1124928000. Its totient is φ = 185794560.

The previous prime is 468857003. The next prime is 468857029. The reversal of 468857025 is 520758864.

It is not a de Polignac number, because 468857025 - 2¹² = 468852929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (468857029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1044001 + ... + 1044449.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^468857025 is an apocalyptic number.

468857025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468857025 is an abundant number, since it is smaller than the sum of its proper divisors (656070975).

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

468857025 is a wasteful number, since it uses less digits than its factorization.

468857025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 468857025 is about 21653.1065900485. The cubic root of 468857025 is about 776.8672422667.

The spelling of 468857025 in words is "four hundred sixty-eight million, eight hundred fifty-seven thousand, twenty-five".