400201344 has 128 divisors (see below), whose sum is σ = 1209067200. Its totient is φ = 130249728.

The previous prime is 400201303. The next prime is 400201391. The reversal of 400201344 is 443102004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×400201344² = 320322231478812672, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147262 + ... + 149954.

Almost surely, 2^400201344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604533600).

400201344 is an abundant number, since it is smaller than the sum of its proper divisors (808865856).

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

400201344 is a wasteful number, since it uses less digits than its factorization.

400201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400201344 is about 20005.0329667311. The cubic root of 400201344 is about 736.9299052640.

Adding to 400201344 its reverse (443102004), we get a palindrome (843303348).

The spelling of 400201344 in words is "four hundred million, two hundred one thousand, three hundred forty-four".