326012400 has 360 divisors, whose sum is σ = 1370831904. Its totient is φ = 70041600.

The previous prime is 326012387. The next prime is 326012437. The reversal of 326012400 is 4210623.

It is a happy number.

326012400 is a `hidden beast` number, since 3 + 260 + 1 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428020 + ... + 428780.

Almost surely, 2^326012400 is an apocalyptic number.

326012400 is a gapful number since it is divisible by the number (30) 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 326012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685415952).

326012400 is an abundant number, since it is smaller than the sum of its proper divisors (1044819504).

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

326012400 is a wasteful number, since it uses less digits than its factorization.

326012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 326012400 is about 18055.8134682434. The cubic root of 326012400 is about 688.2476010742.

The spelling of 326012400 in words is "three hundred twenty-six million, twelve thousand, four hundred".