468098440 has 32 divisors (see below), whose sum is σ = 1108656000. Its totient is φ = 177384384.

The previous prime is 468098401. The next prime is 468098441. The reversal of 468098440 is 44890864.

It is a happy number.

It is a super-2 number, since 2×468098440² = 438232299060867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468098441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307200 + ... + 308719.

It is an arithmetic number, because the mean of its divisors is an integer number (34645500).

Almost surely, 2^468098440 is an apocalyptic number.

468098440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468098440 is an abundant number, since it is smaller than the sum of its proper divisors (640557560).

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

468098440 is a wasteful number, since it uses less digits than its factorization.

468098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615949 (or 615945 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 468098440 is about 21635.5827284592. The cubic root of 468098440 is about 776.4480398798.

The spelling of 468098440 in words is "four hundred sixty-eight million, ninety-eight thousand, four hundred forty".