1457946 has 96 divisors (see below), whose sum is σ = 4104000. Its totient is φ = 381024.

The previous prime is 1457941. The next prime is 1457957. The reversal of 1457946 is 6497541.

Its product of digits (30240) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1457946.

It is not an unprimeable number, because it can be changed into a prime (1457941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50260 + ... + 50288.

It is an arithmetic number, because the mean of its divisors is an integer number (42750).

2^1457946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052000).

1457946 is an abundant number, since it is smaller than the sum of its proper divisors (2646054).

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

1457946 is a wasteful number, since it uses less digits than its factorization.

1457946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1457946 is about 1207.4543469631. The cubic root of 1457946 is about 113.3914945610.

The spelling of 1457946 in words is "one million, four hundred fifty-seven thousand, nine hundred forty-six".