201450400 has 72 divisors (see below), whose sum is σ = 507717504. Its totient is φ = 77971200.

The previous prime is 201450349. The next prime is 201450401. The reversal of 201450400 is 4054102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (201450401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20739 + ... + 28861.

It is an arithmetic number, because the mean of its divisors is an integer number (7051632).

Almost surely, 2^201450400 is an apocalyptic number.

201450400 is a gapful number since it is divisible by the number (20) 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 201450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253858752).

201450400 is an abundant number, since it is smaller than the sum of its proper divisors (306267104).

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

201450400 is a wasteful number, since it uses less digits than its factorization.

201450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 201450400 is about 14193.3223735671. The cubic root of 201450400 is about 586.2138091537.

The spelling of 201450400 in words is "two hundred one million, four hundred fifty thousand, four hundred".