460145400 has 384 divisors, whose sum is σ = 1739888640. Its totient is φ = 99072000.

The previous prime is 460145327. The next prime is 460145423. The reversal of 460145400 is 4541064.

It is a Cunningham number, because it is equal to 21451²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659714 + ... + 2659886.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2^460145400 is an apocalyptic number.

460145400 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 460145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869944320).

460145400 is an abundant number, since it is smaller than the sum of its proper divisors (1279743240).

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

460145400 is a wasteful number, since it uses less digits than its factorization.

460145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 460145400 is about 21450.9999766911. Note that the first 4 decimals coincide. The cubic root of 460145400 is about 772.0255882057.

Adding to 460145400 its reverse (4541064), we get a palindrome (464686464).

The spelling of 460145400 in words is "four hundred sixty million, one hundred forty-five thousand, four hundred".