1350290400 has 72 divisors (see below), whose sum is σ = 4395203064. Its totient is φ = 360076800.

The previous prime is 1350290387. The next prime is 1350290407. The reversal of 1350290400 is 40920531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350290407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278911 + ... + 283710.

It is an arithmetic number, because the mean of its divisors is an integer number (61044487).

Almost surely, 2^1350290400 is an apocalyptic number.

1350290400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350290400 is an abundant number, since it is smaller than the sum of its proper divisors (3044912664).

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

1350290400 is a wasteful number, since it uses less digits than its factorization.

1350290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562644 (or 562631 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1350290400 is about 36746.2977727009. The cubic root of 1350290400 is about 1105.2886915214.

It can be divided in two parts, 1350 and 290400, that multiplied together give a square (392040000 = 19800²).

The spelling of 1350290400 in words is "one billion, three hundred fifty million, two hundred ninety thousand, four hundred".