1455157440 has 448 divisors, whose sum is σ = 5714634240. Its totient is φ = 345600000.

The previous prime is 1455157433. The next prime is 1455157469. The reversal of 1455157440 is 447515541.

1455157440 is a `hidden beast` number, since 1 + 45 + 5 + 1 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1455157395 and 1455157404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5797315 + ... + 5797565.

It is an arithmetic number, because the mean of its divisors is an integer number (12755880).

Almost surely, 2^1455157440 is an apocalyptic number.

1455157440 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 1455157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857317120).

1455157440 is an abundant number, since it is smaller than the sum of its proper divisors (4259476800).

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

1455157440 is a wasteful number, since it uses less digits than its factorization.

1455157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 1455157440 is about 38146.5259230772. The cubic root of 1455157440 is about 1133.1915516600.

The spelling of 1455157440 in words is "one billion, four hundred fifty-five million, one hundred fifty-seven thousand, four hundred forty".