457467960 has 128 divisors (see below), whose sum is σ = 1475262720. Its totient is φ = 113068032.

The previous prime is 457467949. The next prime is 457467979. The reversal of 457467960 is 69764754.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135007 + ... + 138353.

It is an arithmetic number, because the mean of its divisors is an integer number (11525490).

Almost surely, 2^457467960 is an apocalyptic number.

457467960 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 457467960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737631360).

457467960 is an abundant number, since it is smaller than the sum of its proper divisors (1017794760).

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

457467960 is a wasteful number, since it uses less digits than its factorization.

457467960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 457467960 is about 21388.5006487131. The cubic root of 457467960 is about 770.5252838998.

The spelling of 457467960 in words is "four hundred fifty-seven million, four hundred sixty-seven thousand, nine hundred sixty".