1349893440 has 168 divisors, whose sum is σ = 5306446080. Its totient is φ = 308542464.

The previous prime is 1349893427. The next prime is 1349893451. The reversal of 1349893440 is 443989431.

It is a happy number.

1349893440 is a `hidden beast` number, since 1 + 34 + 98 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13320 + ... + 53639.

Almost surely, 2^1349893440 is an apocalyptic number.

1349893440 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 1349893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653223040).

1349893440 is an abundant number, since it is smaller than the sum of its proper divisors (3956552640).

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

1349893440 is a wasteful number, since it uses less digits than its factorization.

1349893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66989 (or 66976 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1349893440 is about 36740.8960152035. The cubic root of 1349893440 is about 1105.1803695383.

The spelling of 1349893440 in words is "one billion, three hundred forty-nine million, eight hundred ninety-three thousand, four hundred forty".