460049920 has 240 divisors, whose sum is σ = 1316527344. Its totient is φ = 152371200.

The previous prime is 460049917. The next prime is 460049921. The reversal of 460049920 is 29940064.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460049921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14840305 + ... + 14840335.

Almost surely, 2^460049920 is an apocalyptic number.

460049920 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 460049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658263672).

460049920 is an abundant number, since it is smaller than the sum of its proper divisors (856477424).

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

460049920 is a wasteful number, since it uses less digits than its factorization.

460049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 460049920 is about 21448.7743239561. The cubic root of 460049920 is about 771.9721861707.

Adding to 460049920 its reverse (29940064), we get a palindrome (489989984).

The spelling of 460049920 in words is "four hundred sixty million, forty-nine thousand, nine hundred twenty".