401077600 has 288 divisors, whose sum is σ = 1295917056. Its totient is φ = 117350400.

The previous prime is 401077577. The next prime is 401077609. The reversal of 401077600 is 6770104.

It is a super-3 number, since 3×401077600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401077609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047009 + ... + 1047391.

It is an arithmetic number, because the mean of its divisors is an integer number (4499712).

Almost surely, 2^401077600 is an apocalyptic number.

401077600 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 401077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647958528).

401077600 is an abundant number, since it is smaller than the sum of its proper divisors (894839456).

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

401077600 is a wasteful number, since it uses less digits than its factorization.

401077600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 401077600 is about 20026.9218803090. The cubic root of 401077600 is about 737.4673585094.

The spelling of 401077600 in words is "four hundred one million, seventy-seven thousand, six hundred".