1357460000 has 240 divisors, whose sum is σ = 3769343424. Its totient is φ = 477312000.

The previous prime is 1357459963. The next prime is 1357460003. The reversal of 1357460000 is 647531.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1357460003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5979887 + ... + 5980113.

Almost surely, 2^1357460000 is an apocalyptic number.

1357460000 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 1357460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884671712).

1357460000 is an abundant number, since it is smaller than the sum of its proper divisors (2411883424).

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

1357460000 is a wasteful number, since it uses less digits than its factorization.

1357460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1357460000 is about 36843.7240245880. The cubic root of 1357460000 is about 1107.2414797434.

The spelling of 1357460000 in words is "one billion, three hundred fifty-seven million, four hundred sixty thousand".