1146429900 has 432 divisors, whose sum is σ = 4562707968. Its totient is φ = 233856000.

The previous prime is 1146429881. The next prime is 1146429919. The reversal of 1146429900 is 99246411.

It is a happy number.

1146429900 is a `hidden beast` number, since 1 + 1 + 4 + 642 + 9 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1146429881) and next prime (1146429919).

It is a super-2 number, since 2×1146429900² = 2628603031228020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4920184 + ... + 4920416.

It is an arithmetic number, because the mean of its divisors is an integer number (10561824).

Almost surely, 2^1146429900 is an apocalyptic number.

1146429900 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 1146429900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281353984).

1146429900 is an abundant number, since it is smaller than the sum of its proper divisors (3416278068).

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

1146429900 is a wasteful number, since it uses less digits than its factorization.

1146429900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1146429900 is about 33858.9707463177. The cubic root of 1146429900 is about 1046.6042680333.

The spelling of 1146429900 in words is "one billion, one hundred forty-six million, four hundred twenty-nine thousand, nine hundred".