1153400415 has 48 divisors (see below), whose sum is σ = 2010802176. Its totient is φ = 563889600.

The previous prime is 1153400399. The next prime is 1153400431. The reversal of 1153400415 is 5140043511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1153400399) and next prime (1153400431).

It is not a de Polignac number, because 1153400415 - 2⁴ = 1153400399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164430 + ... + 171300.

It is an arithmetic number, because the mean of its divisors is an integer number (41891712).

Almost surely, 2^1153400415 is an apocalyptic number.

1153400415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1153400415 is a deficient number, since it is larger than the sum of its proper divisors (857401761).

1153400415 is a wasteful number, since it uses less digits than its factorization.

1153400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1153400415 is about 33961.7492924025. The cubic root of 1153400415 is about 1048.7211687231.

Adding to 1153400415 its reverse (5140043511), we get a palindrome (6293443926).

The spelling of 1153400415 in words is "one billion, one hundred fifty-three million, four hundred thousand, four hundred fifteen".