376401000 has 128 divisors (see below), whose sum is σ = 1206466560. Its totient is φ = 97632000.

The previous prime is 376400993. The next prime is 376401007. The reversal of 376401000 is 104673.

It is an interprime number because it is at equal distance from previous prime (376400993) and next prime (376401007).

It is not an unprimeable number, because it can be changed into a prime (376401007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109305 + ... + 112695.

It is an arithmetic number, because the mean of its divisors is an integer number (9425520).

Almost surely, 2^376401000 is an apocalyptic number.

376401000 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 376401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603233280).

376401000 is an abundant number, since it is smaller than the sum of its proper divisors (830065560).

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

376401000 is a wasteful number, since it uses less digits than its factorization.

376401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 376401000 is about 19401.0566722537. The cubic root of 376401000 is about 722.0217098415.

Adding to 376401000 its reverse (104673), we get a palindrome (376505673).

The spelling of 376401000 in words is "three hundred seventy-six million, four hundred one thousand".