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469306992 = 2437111941163
BaseRepresentation
bin11011111110010…
…000111001110000
31012201002021011110
4123332100321300
51430120310432
6114322513320
714426020650
oct3376207160
91181067143
10469306992
11220a03320
12111205840
13762c985b
1446486360
152b303dcc
hex1bf90e70

469306992 has 320 divisors, whose sum is σ = 1639895040. Its totient is φ = 111974400.

The previous prime is 469306991. The next prime is 469307009. The reversal of 469306992 is 299603964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469306991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2879103 + ... + 2879265.

It is an arithmetic number, because the mean of its divisors is an integer number (5124672).

Almost surely, 2469306992 is an apocalyptic number.

469306992 is a gapful number since it is divisible by the number (42) 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 469306992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819947520).

469306992 is an abundant number, since it is smaller than the sum of its proper divisors (1170588048).

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

469306992 is a wasteful number, since it uses less digits than its factorization.

469306992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 469306992 is about 21663.4944549581. The cubic root of 469306992 is about 777.1156853502.

The spelling of 469306992 in words is "four hundred sixty-nine million, three hundred six thousand, nine hundred ninety-two".