401780064 has 96 divisors (see below), whose sum is σ = 1231082496. Its totient is φ = 112343040.

The previous prime is 401780063. The next prime is 401780069. The reversal of 401780064 is 460087104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401780064² = 322854439655688192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401780063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25224 + ... + 37944.

It is an arithmetic number, because the mean of its divisors is an integer number (12823776).

Almost surely, 2^401780064 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 401780064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615541248).

401780064 is an abundant number, since it is smaller than the sum of its proper divisors (829302432).

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

401780064 is a wasteful number, since it uses less digits than its factorization.

401780064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 401780064 is about 20044.4522000478. The cubic root of 401780064 is about 737.8976510704.

The spelling of 401780064 in words is "four hundred one million, seven hundred eighty thousand, sixty-four".