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469832401 = 37971091201
BaseRepresentation
bin11100000000010…
…001001011010001
31012202001221220001
4130000101023101
51430234114101
6114342050001
714433336523
oct3400211321
91182057801
10469832401
11221232045
12111419901
1376451a4c
1446581a13
152b3a9901
hex1c0112d1

469832401 has 16 divisors (see below), whose sum is σ = 492387280. Its totient is φ = 447897600.

The previous prime is 469832387. The next prime is 469832443. The reversal of 469832401 is 104238964.

It can be written as a sum of positive squares in 8 ways, for example, as 2235025 + 467597376 = 1495^2 + 21624^2 .

It is a 4-Lehmer number, since φ(469832401) divides (469832401-1)4.

It is a cyclic number.

It is not a de Polignac number, because 469832401 - 221 = 467735249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (469832471) 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, 390601 + ... + 391801.

It is an arithmetic number, because the mean of its divisors is an integer number (30774205).

It is a Poulet number, since it divides 2469832400-1.

Almost surely, 2469832401 is an apocalyptic number.

It is an amenable number.

469832401 is a deficient number, since it is larger than the sum of its proper divisors (22554879).

469832401 is a wasteful number, since it uses less digits than its factorization.

469832401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 469832401 is about 21675.6176613263. The cubic root of 469832401 is about 777.4055818045.

The spelling of 469832401 in words is "four hundred sixty-nine million, eight hundred thirty-two thousand, four hundred one".

Divisors: 1 37 97 109 1201 3589 4033 10573 44437 116497 130909 391201 4310389 4843633 12698173 469832401