1351674240 has 256 divisors, whose sum is σ = 4962193920. Its totient is φ = 306561024.

The previous prime is 1351674223. The next prime is 1351674257. The reversal of 1351674240 is 424761531.

It is an interprime number because it is at equal distance from previous prime (1351674223) and next prime (1351674257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2190412 + ... + 2191028.

It is an arithmetic number, because the mean of its divisors is an integer number (19383570).

Almost surely, 2^1351674240 is an apocalyptic number.

1351674240 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 1351674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481096960).

1351674240 is an abundant number, since it is smaller than the sum of its proper divisors (3610519680).

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

1351674240 is a wasteful number, since it uses less digits than its factorization.

1351674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1351674240 is about 36765.1226028147. The cubic root of 1351674240 is about 1105.6661462488. Note that the first 3 decimals are identical.

The spelling of 1351674240 in words is "one billion, three hundred fifty-one million, six hundred seventy-four thousand, two hundred forty".