49200480 has 192 divisors, whose sum is σ = 196922880. Its totient is φ = 11238912.

The previous prime is 49200479. The next prime is 49200497. The reversal of 49200480 is 8400294.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29427 + ... + 31053.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

Almost surely, 2^49200480 is an apocalyptic number.

49200480 is a gapful number since it is divisible by the number (40) 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 49200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98461440).

49200480 is an abundant number, since it is smaller than the sum of its proper divisors (147722400).

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

49200480 is a wasteful number, since it uses less digits than its factorization.

49200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 49200480 is about 7014.3053825735. The cubic root of 49200480 is about 366.4289515207.

The spelling of 49200480 in words is "forty-nine million, two hundred thousand, four hundred eighty".