1354506240 has 224 divisors, whose sum is σ = 4422623616. Its totient is φ = 353894400.

The previous prime is 1354506233. The next prime is 1354506269. The reversal of 1354506240 is 426054531.

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 = 1354506198 and 1354506207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8970165 + ... + 8970315.

Almost surely, 2^1354506240 is an apocalyptic number.

1354506240 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 1354506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211311808).

1354506240 is an abundant number, since it is smaller than the sum of its proper divisors (3068117376).

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

1354506240 is an equidigital number, since it uses as much as digits as its factorization.

1354506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1354506240 is about 36803.6172135294. The cubic root of 1354506240 is about 1106.4377972217.

The spelling of 1354506240 in words is "one billion, three hundred fifty-four million, five hundred six thousand, two hundred forty".