401770800 has 120 divisors (see below), whose sum is σ = 1430044880. Its totient is φ = 107136000.

The previous prime is 401770783. The next prime is 401770807. The reversal of 401770800 is 8077104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×401770800² = 322839551465280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401770807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7801 + ... + 29400.

Almost surely, 2^401770800 is an apocalyptic number.

401770800 is a gapful number since it is divisible by the number (40) 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 401770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715022440).

401770800 is an abundant number, since it is smaller than the sum of its proper divisors (1028274080).

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

401770800 is a wasteful number, since it uses less digits than its factorization.

401770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37228 (or 37211 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 401770800 is about 20044.2211123306. The cubic root of 401770800 is about 737.8919796953.

The spelling of 401770800 in words is "four hundred one million, seven hundred seventy thousand, eight hundred".