1354046976 has 160 divisors (see below), whose sum is σ = 4107549600. Its totient is φ = 440156160.

The previous prime is 1354046963. The next prime is 1354046983. The reversal of 1354046976 is 6796404531.

1354046976 is a `hidden beast` number, since 13 + 540 + 4 + 6 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 565590 + ... + 567978.

It is an arithmetic number, because the mean of its divisors is an integer number (25672185).

Almost surely, 2^1354046976 is an apocalyptic number.

1354046976 is a gapful number since it is divisible by the number (16) 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 1354046976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053774800).

1354046976 is an abundant number, since it is smaller than the sum of its proper divisors (2753502624).

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

1354046976 is an equidigital number, since it uses as much as digits as its factorization.

1354046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1354046976 is about 36797.3772978456. The cubic root of 1354046976 is about 1106.3127320933.

It can be divided in two parts, 13540 and 46976, that added together give a square (60516 = 246²).

The spelling of 1354046976 in words is "one billion, three hundred fifty-four million, forty-six thousand, nine hundred seventy-six".