1154640400 has 45 divisors (see below), whose sum is σ = 2775657261. Its totient is φ = 461584320.

The previous prime is 1154640397. The next prime is 1154640407. The reversal of 1154640400 is 40464511.

The square root of 1154640400 is 33980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 415670544 + 738969856 = 20388^2 + 27184^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1154640407) 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 8 ways as a sum of consecutive naturals, for example, 678751 + ... + 680449.

Almost surely, 2^1154640400 is an apocalyptic number.

1154640400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1154640400 is the 33980-th square number.

It is an amenable number.

1154640400 is an abundant number, since it is smaller than the sum of its proper divisors (1621016861).

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

1154640400 is an frugal number, since it uses more digits than its factorization.

1154640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1154640400 is about 1049.0968499909.

Multiplying 1154640400 by its sum of digits (25), we get a square (28866010000 = 169900²).

1154640400 divided by its sum of digits (25) gives a square (46185616 = 6796²).

The spelling of 1154640400 in words is "one billion, one hundred fifty-four million, six hundred forty thousand, four hundred".