1457393940 has 36 divisors (see below), whose sum is σ = 4420762164. Its totient is φ = 388638336.

The previous prime is 1457393939. The next prime is 1457393941. The reversal of 1457393940 is 493937541.

1457393940 is a `hidden beast` number, since 1 + 4 + 573 + 9 + 39 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1457393939) and next prime (1457393941).

It can be written as a sum of positive squares in 2 ways, for example, as 396328464 + 1061065476 = 19908^2 + 32574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457393941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4048137 + ... + 4048496.

It is an arithmetic number, because the mean of its divisors is an integer number (122798949).

Almost surely, 2^1457393940 is an apocalyptic number.

1457393940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457393940 is an abundant number, since it is smaller than the sum of its proper divisors (2963368224).

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

1457393940 is a wasteful number, since it uses less digits than its factorization.

1457393940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8096648 (or 8096643 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1457393940 is about 38175.8292640776. The cubic root of 1457393940 is about 1133.7718063090.

The spelling of 1457393940 in words is "one billion, four hundred fifty-seven million, three hundred ninety-three thousand, nine hundred forty".