146824490400 has 288 divisors, whose sum is σ = 546665011200. Its totient is φ = 33530526720.

The previous prime is 146824490377. The next prime is 146824490411. The reversal of 146824490400 is 4094428641.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23500077 + ... + 23506323.

It is an arithmetic number, because the mean of its divisors is an integer number (1898142400).

Almost surely, 2^146824490400 is an apocalyptic number.

146824490400 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 146824490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273332505600).

146824490400 is an abundant number, since it is smaller than the sum of its proper divisors (399840520800).

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

146824490400 is a wasteful number, since it uses less digits than its factorization.

146824490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676 (or 7663 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 146824490400 in words is "one hundred forty-six billion, eight hundred twenty-four million, four hundred ninety thousand, four hundred".