1354190400 has 420 divisors, whose sum is σ = 5114383472. Its totient is φ = 352719360.

The previous prime is 1354190381. The next prime is 1354190441. The reversal of 1354190400 is 40914531.

1354190400 is a `hidden beast` number, since 135 + 41 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31492779 + ... + 31492821.

Almost surely, 2^1354190400 is an apocalyptic number.

1354190400 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 1354190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557191736).

1354190400 is an abundant number, since it is smaller than the sum of its proper divisors (3760193072).

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

1354190400 is an frugal number, since it uses more digits than its factorization.

1354190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1354190400 is about 36799.3260807858. The cubic root of 1354190400 is about 1106.3517918399.

The spelling of 1354190400 in words is "one billion, three hundred fifty-four million, one hundred ninety thousand, four hundred".