460149040 has 80 divisors (see below), whose sum is σ = 1202298048. Its totient is φ = 162505728.

The previous prime is 460149037. The next prime is 460149043. The reversal of 460149040 is 40941064.

It is an interprime number because it is at equal distance from previous prime (460149037) and next prime (460149043).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (460149043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14302 + ... + 33538.

Almost surely, 2^460149040 is an apocalyptic number.

460149040 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 460149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601149024).

460149040 is an abundant number, since it is smaller than the sum of its proper divisors (742149008).

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

460149040 is a wasteful number, since it uses less digits than its factorization.

460149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19286 (or 19280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 460149040 is about 21451.0848210528. The cubic root of 460149040 is about 772.0276239142.

It can be divided in two parts, 460 and 149040, that multiplied together give a square (68558400 = 8280²).

The spelling of 460149040 in words is "four hundred sixty million, one hundred forty-nine thousand, forty".