337478401 has 16 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 303226560.

The previous prime is 337478363. The next prime is 337478411. The reversal of 337478401 is 104874733.

It is not a de Polignac number, because 337478401 - 2¹¹ = 337476353 is a prime.

It is a super-2 number, since 2×337478401² = 227783342283033602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337478411) 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, 88390 + ... + 92128.

It is an arithmetic number, because the mean of its divisors is an integer number (23326380).

Almost surely, 2^337478401 is an apocalyptic number.

It is an amenable number.

337478401 is a deficient number, since it is larger than the sum of its proper divisors (35743679).

337478401 is a wasteful number, since it uses less digits than its factorization.

337478401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 337478401 is about 18370.5852111466. The cubic root of 337478401 is about 696.2234723284.

The spelling of 337478401 in words is "three hundred thirty-seven million, four hundred seventy-eight thousand, four hundred one".