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456490625 = 55146077
BaseRepresentation
bin11011001101010…
…111111010000001
31011210222010102012
4123031113322001
51413330200000
6113144102305
714212051313
oct3315277201
91153863365
10456490625
1121474a188
12108a64995
13737600c6
14448ab7b3
152a121735
hex1b357e81

456490625 has 12 divisors (see below), whose sum is σ = 570580668. Its totient is φ = 365190000.

The previous prime is 456490607. The next prime is 456490651. The reversal of 456490625 is 526094654.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 441714289 + 14776336 = 21017^2 + 3844^2 .

It is not a de Polignac number, because 456490625 - 212 = 456486529 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69914 + ... + 76163.

It is an arithmetic number, because the mean of its divisors is an integer number (47548389).

Almost surely, 2456490625 is an apocalyptic number.

It is an amenable number.

456490625 is a deficient number, since it is larger than the sum of its proper divisors (114090043).

456490625 is an frugal number, since it uses more digits than its factorization.

456490625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146102 (or 146082 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The square root of 456490625 is about 21365.6412260433. The cubic root of 456490625 is about 769.9761756838.

The spelling of 456490625 in words is "four hundred fifty-six million, four hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 146077 730385 3651925 18259625 91298125 456490625