1461757440 has 400 divisors, whose sum is σ = 5535739440. Its totient is φ = 327106560.

The previous prime is 1461757397. The next prime is 1461757447. The reversal of 1461757440 is 447571641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461757447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112442874 + ... + 112442886.

Almost surely, 2^1461757440 is an apocalyptic number.

1461757440 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 1461757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767869720).

1461757440 is an abundant number, since it is smaller than the sum of its proper divisors (4073982000).

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

1461757440 is an frugal number, since it uses more digits than its factorization.

1461757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 1461757440 is about 38232.9365861426. The cubic root of 1461757440 is about 1134.9021993912.

The spelling of 1461757440 in words is "one billion, four hundred sixty-one million, seven hundred fifty-seven thousand, four hundred forty".