1457401440 has 288 divisors, whose sum is σ = 5270323968. Its totient is φ = 337638400.

The previous prime is 1457401423. The next prime is 1457401459. The reversal of 1457401440 is 441047541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1457401398 and 1457401407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335295 + ... + 1336385.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2^1457401440 is an apocalyptic number.

1457401440 is a gapful number since it is divisible by the number (10) 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 1457401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635161984).

1457401440 is an abundant number, since it is smaller than the sum of its proper divisors (3812922528).

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

1457401440 is a wasteful number, since it uses less digits than its factorization.

1457401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 1457401440 is about 38175.9274936445. The cubic root of 1457401440 is about 1133.7737511673.

Adding to 1457401440 its reverse (441047541), we get a palindrome (1898448981).

The spelling of 1457401440 in words is "one billion, four hundred fifty-seven million, four hundred one thousand, four hundred forty".